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Finding the Fourth Proportional to 138,385.84, 207,578.90 and 38,546.24

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Solution

The fourth proportional to 138,385.84, 207,578.90 and 38,546.24 is: 57,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,385.84 : 207,578.90 = 38,546.24 : x
  2. Step 2: Convert to fraction form
    138,385.84/207,578.90 = 38,546.24/x
  3. Step 3: Cross multiply
    138,385.84x = 207,578.90 × 38,546.24
  4. Step 4: Simplify right side
    138,385.84x = 8,001,386,098.34
  5. Step 5: Solve for x
    x = 8,001,386,098.34/138,385.84
  6. Step 6: Final answer
    x = 57,819.40

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1.5x scale

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.