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Finding the Fourth Proportional to 75,840.97, 113,712.85 and 31,498.33

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Solution

The fourth proportional to 75,840.97, 113,712.85 and 31,498.33 is: 47,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,840.97 : 113,712.85 = 31,498.33 : x
  2. Step 2: Convert to fraction form
    75,840.97/113,712.85 = 31,498.33/x
  3. Step 3: Cross multiply
    75,840.97x = 113,712.85 × 31,498.33
  4. Step 4: Simplify right side
    75,840.97x = 3,581,764,874.54
  5. Step 5: Solve for x
    x = 3,581,764,874.54/75,840.97
  6. Step 6: Final answer
    x = 47,227.31

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