Explanation:

- Qutb Minar, a famous minaret in Delhi, was initially constructed by Qutb-ud-din Aibak in the early 13th century with later additions made by other rulers.

- The structure originally had four stories.

- Balban: He was a powerful Sultan who reigned from 1266 to 1287, but didn't modify the Qutb Minar.

- Alauddin Khalji: Ruled from 1296 to 1316, known for his architectural projects, but he did not raise the height of the Qutb Minar.

- Muhammad Tughlaq: His reign from 1325 to 1351 was notable for ambitious projects, but he didn’t alter the minaret.

- Firoz Shah Tughlaq: He ruled from 1351 to 1388 and is credited with adding the fifth storey to the Qutb Minar.