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Finding the Fourth Proportional to 78,140.97, 107,834.11 and 42,331.68

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Solution

The fourth proportional to 78,140.97, 107,834.11 and 42,331.68 is: 58,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140.97 : 107,834.11 = 42,331.68 : x
  2. Step 2: Convert to fraction form
    78,140.97/107,834.11 = 42,331.68/x
  3. Step 3: Cross multiply
    78,140.97x = 107,834.11 × 42,331.68
  4. Step 4: Simplify right side
    78,140.97x = 4,564,798,825.95
  5. Step 5: Solve for x
    x = 4,564,798,825.95/78,140.97
  6. Step 6: Final answer
    x = 58,417.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.