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Finding the Fourth Proportional to 138,442.56, 207,654.11 and 79,092.24

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Solution

The fourth proportional to 138,442.56, 207,654.11 and 79,092.24 is: 118,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,442.56 : 207,654.11 = 79,092.24 : x
  2. Step 2: Convert to fraction form
    138,442.56/207,654.11 = 79,092.24/x
  3. Step 3: Cross multiply
    138,442.56x = 207,654.11 × 79,092.24
  4. Step 4: Simplify right side
    138,442.56x = 16,423,828,705.11
  5. Step 5: Solve for x
    x = 16,423,828,705.11/138,442.56
  6. Step 6: Final answer
    x = 118,632.80

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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.