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Finding the Fourth Proportional to 138,490.32, 207,770.49 and 38,650.44

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Solution

The fourth proportional to 138,490.32, 207,770.49 and 38,650.44 is: 57,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,490.32 : 207,770.49 = 38,650.44 : x
  2. Step 2: Convert to fraction form
    138,490.32/207,770.49 = 38,650.44/x
  3. Step 3: Cross multiply
    138,490.32x = 207,770.49 × 38,650.44
  4. Step 4: Simplify right side
    138,490.32x = 8,030,420,857.52
  5. Step 5: Solve for x
    x = 8,030,420,857.52/138,490.32
  6. Step 6: Final answer
    x = 57,985.43

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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.