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Finding the Fourth Proportional to 83,957.60, 126,033.60 and 50,715.20

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Solution

The fourth proportional to 83,957.60, 126,033.60 and 50,715.20 is: 76,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.60 : 126,033.60 = 50,715.20 : x
  2. Step 2: Convert to fraction form
    83,957.60/126,033.60 = 50,715.20/x
  3. Step 3: Cross multiply
    83,957.60x = 126,033.60 × 50,715.20
  4. Step 4: Simplify right side
    83,957.60x = 6,391,819,230.72
  5. Step 5: Solve for x
    x = 6,391,819,230.72/83,957.60
  6. Step 6: Final answer
    x = 76,131.51

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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.