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Finding the Fourth Proportional to 83,542.90, 115,295.32 and 47,732.14

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Solution

The fourth proportional to 83,542.90, 115,295.32 and 47,732.14 is: 65,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.90 : 115,295.32 = 47,732.14 : x
  2. Step 2: Convert to fraction form
    83,542.90/115,295.32 = 47,732.14/x
  3. Step 3: Cross multiply
    83,542.90x = 115,295.32 × 47,732.14
  4. Step 4: Simplify right side
    83,542.90x = 5,503,292,355.58
  5. Step 5: Solve for x
    x = 5,503,292,355.58/83,542.90
  6. Step 6: Final answer
    x = 65,873.85

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