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Finding the Fourth Proportional to 83,712.80, 125,569.20 and 71,028.20

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Solution

The fourth proportional to 83,712.80, 125,569.20 and 71,028.20 is: 106,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,712.80 : 125,569.20 = 71,028.20 : x
  2. Step 2: Convert to fraction form
    83,712.80/125,569.20 = 71,028.20/x
  3. Step 3: Cross multiply
    83,712.80x = 125,569.20 × 71,028.20
  4. Step 4: Simplify right side
    83,712.80x = 8,918,954,251.44
  5. Step 5: Solve for x
    x = 8,918,954,251.44/83,712.80
  6. Step 6: Final answer
    x = 106,542.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.