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Finding the Fourth Proportional to 138,186.58, 207,279.88 and 38,346.80

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Solution

The fourth proportional to 138,186.58, 207,279.88 and 38,346.80 is: 57,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,186.58 : 207,279.88 = 38,346.80 : x
  2. Step 2: Convert to fraction form
    138,186.58/207,279.88 = 38,346.80/x
  3. Step 3: Cross multiply
    138,186.58x = 207,279.88 × 38,346.80
  4. Step 4: Simplify right side
    138,186.58x = 7,948,520,102.38
  5. Step 5: Solve for x
    x = 7,948,520,102.38/138,186.58
  6. Step 6: Final answer
    x = 57,520.20

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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.