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Finding the Fourth Proportional to 138,684, 207,991.20 and 38,818.32

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Solution

The fourth proportional to 138,684, 207,991.20 and 38,818.32 is: 58,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,684 : 207,991.20 = 38,818.32 : x
  2. Step 2: Convert to fraction form
    138,684/207,991.20 = 38,818.32/x
  3. Step 3: Cross multiply
    138,684x = 207,991.20 × 38,818.32
  4. Step 4: Simplify right side
    138,684x = 8,073,868,958.78
  5. Step 5: Solve for x
    x = 8,073,868,958.78/138,684
  6. Step 6: Final answer
    x = 58,217.74

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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.