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Finding the Fourth Proportional to 138,456.09, 207,610.11 and 71,730.72

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Solution

The fourth proportional to 138,456.09, 207,610.11 and 71,730.72 is: 107,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456.09 : 207,610.11 = 71,730.72 : x
  2. Step 2: Convert to fraction form
    138,456.09/207,610.11 = 71,730.72/x
  3. Step 3: Cross multiply
    138,456.09x = 207,610.11 × 71,730.72
  4. Step 4: Simplify right side
    138,456.09x = 14,892,022,669.58
  5. Step 5: Solve for x
    x = 14,892,022,669.58/138,456.09
  6. Step 6: Final answer
    x = 107,557.73

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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.