Google has reported a rise in profits with a jump in revenues, as it ploughed more money into advertising and research and development.Net profit for the final three months of last year was $2.89bn (£1.83bn), up 7% on a year earlier. Revenues were up by more than a third at $14.4bn.Google shares rose by almost 5% in after-hours trading, following the better-than-expected results.Separately, computer maker IBM reported a modest rise in profits. Record revenueIn the third quarter of 2012, Google's profits fell sharply from a year earlier. The final three months of the year marked a return to profit growth."We ended 2012 with a strong quarter," said the internet giant's chief executive Larry Page."And we hit $50bn in revenues for the first time last year - not a bad achievement in just a decade and a half."In today's multi-screen world we face tremendous opportunities as a technology company focused on user benefit. It's an incredibly exciting time to be at Google."The fourth quarter figures are not directly comparable with a year earlier, as they include Motorola Mobility, which Google bought in May 2012. The subsidiary made a loss in the latest three month period.'Amazing'Analysts were impressed by Google's performance."Business looked really strong, especially from a profitability perspective - they really grew their margins in the core business, which is quite amazing," said Sameet Sinha from B Riley."Most of that strength seems to be coming from international markets, which grew revenues quite substantially - up 23%, year-over-year."Google's strong performance came as another technology giant, IBM, revealed its earnings grew 6% in the fourth quarter, as it benefited from lucrative software businesses, such as internet-based computing.IBM earned $5.8bn between October and December, compared to $5.5bn over the same period a year earlier.It is the 40th consecutive quarter that IBM has enjoyed growth in earnings per share, compared to a year earlier.