Rockets get exponentially larger as delta-v requirements increase. As payload increases or decreases, rockets merely need to scale linearly. Conceptually, thi

Rockets get exponentially larger as delta-v requirements increase. As payload increases or decreases, rockets merely need to scale linearly. Conceptually, this is quite simple to understand: simply launching two identical rockets will result in double the payload. The mass part of Tsiolkovsky's equation is simply mass-initial / mass-final. Halve both the numerator and denominator, and you have the same fraction.