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Finding the Fourth Proportional to 138,920, 208,414.56 and 40,424

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Solution

The fourth proportional to 138,920, 208,414.56 and 40,424 is: 60,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920 : 208,414.56 = 40,424 : x
  2. Step 2: Convert to fraction form
    138,920/208,414.56 = 40,424/x
  3. Step 3: Cross multiply
    138,920x = 208,414.56 × 40,424
  4. Step 4: Simplify right side
    138,920x = 8,424,950,173.44
  5. Step 5: Solve for x
    x = 8,424,950,173.44/138,920
  6. Step 6: Final answer
    x = 60,646.06

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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.