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Finding the Fourth Proportional to 75,843.12, 113,715.96 and 31,500.48

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Solution

The fourth proportional to 75,843.12, 113,715.96 and 31,500.48 is: 47,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.12 : 113,715.96 = 31,500.48 : x
  2. Step 2: Convert to fraction form
    75,843.12/113,715.96 = 31,500.48/x
  3. Step 3: Cross multiply
    75,843.12x = 113,715.96 × 31,500.48
  4. Step 4: Simplify right side
    75,843.12x = 3,582,107,323.66
  5. Step 5: Solve for x
    x = 3,582,107,323.66/75,843.12
  6. Step 6: Final answer
    x = 47,230.48

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