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Finding the Fourth Proportional to 83,217.70, 124,960.20 and 77,077.90

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Solution

The fourth proportional to 83,217.70, 124,960.20 and 77,077.90 is: 115,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,217.70 : 124,960.20 = 77,077.90 : x
  2. Step 2: Convert to fraction form
    83,217.70/124,960.20 = 77,077.90/x
  3. Step 3: Cross multiply
    83,217.70x = 124,960.20 × 77,077.90
  4. Step 4: Simplify right side
    83,217.70x = 9,631,669,799.58
  5. Step 5: Solve for x
    x = 9,631,669,799.58/83,217.70
  6. Step 6: Final answer
    x = 115,740.64

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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.