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Finding the Fourth Proportional to 138,313, 207,469.68 and 38,473.20

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Solution

The fourth proportional to 138,313, 207,469.68 and 38,473.20 is: 57,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,313 : 207,469.68 = 38,473.20 : x
  2. Step 2: Convert to fraction form
    138,313/207,469.68 = 38,473.20/x
  3. Step 3: Cross multiply
    138,313x = 207,469.68 × 38,473.20
  4. Step 4: Simplify right side
    138,313x = 7,982,022,492.58
  5. Step 5: Solve for x
    x = 7,982,022,492.58/138,313
  6. Step 6: Final answer
    x = 57,709.85

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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.