In 1899 he passed the Indian Civil Service examination. Among other posts in his career he was appointed a Bombay High Court judge in 1929 a month before his death. He also served as the president of Indian Mathematical Society from 1921 to 26.
Balakram proved in 1929 that the expression is an integer for infinitely many values of He further showed that the expression is an integer for only eight values of , namely, 5, 14, 27, 41, 44, 65, 76, and 90.
- Thomas Koshy Professor of Mathematics Framingham State College (15 November 2008). Catalan Numbers with Applications. Oxford University Press. pp. 69–. ISBN 978-0-19-971519-0. Retrieved 18 July 2013.
- "The Succession List of the Office-Bearers of The Succession List of the Office-Bearers of The Indian Mathematical Society". Indian Mathematical Society.