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Finding the Fourth Proportional to 138,705.92, 191,517.12 and 85,064.96

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Solution

The fourth proportional to 138,705.92, 191,517.12 and 85,064.96 is: 117,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,705.92 : 191,517.12 = 85,064.96 : x
  2. Step 2: Convert to fraction form
    138,705.92/191,517.12 = 85,064.96/x
  3. Step 3: Cross multiply
    138,705.92x = 191,517.12 × 85,064.96
  4. Step 4: Simplify right side
    138,705.92x = 16,291,396,152.12
  5. Step 5: Solve for x
    x = 16,291,396,152.12/138,705.92
  6. Step 6: Final answer
    x = 117,452.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.