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Finding the Fourth Proportional to 138,403.31, 207,531.15 and 71,677.94

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Solution

The fourth proportional to 138,403.31, 207,531.15 and 71,677.94 is: 107,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,403.31 : 207,531.15 = 71,677.94 : x
  2. Step 2: Convert to fraction form
    138,403.31/207,531.15 = 71,677.94/x
  3. Step 3: Cross multiply
    138,403.31x = 207,531.15 × 71,677.94
  4. Step 4: Simplify right side
    138,403.31x = 14,875,405,317.83
  5. Step 5: Solve for x
    x = 14,875,405,317.83/138,403.31
  6. Step 6: Final answer
    x = 107,478.68

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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.