Similar to Piano Concertos Nos. 1-4, these are arrangements of other composers' piano sonatas. The original works for these concertos are the Second, Third, and Fourth Sonatas from Johann Christian Bach (1735-82)'s Six Piano Sonatas, Op. 5.

Johann Christian Bach was the youngest son of J. S. Bach and is known as the 'London Bach' due to the city where he ultimately flourished. His music, refined through studies in Milan, is characterized by an elegant, bright, and gallant Italianate style, and is believed to have profoundly influenced Mozart. Mozart became acquainted with him during his stay in London from 1764 to the following year, when Mozart was eight years old.

These three piano concertos (K. 107) feature a simple scoring of solo piano (or harpsichord), two violin parts, and bass, preserving the atmosphere of the original works. The third concerto consists of a first movement where the string instruments effectively highlight the solo piano's theme, and a second movement where the violins take a prominent role in place of the solo piano. No cadenzas by Mozart himself have survived.