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Finding the Fourth Proportional to 72,691.96, 100,309.26 and 40,854.64

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Solution

The fourth proportional to 72,691.96, 100,309.26 and 40,854.64 is: 56,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,691.96 : 100,309.26 = 40,854.64 : x
  2. Step 2: Convert to fraction form
    72,691.96/100,309.26 = 40,854.64/x
  3. Step 3: Cross multiply
    72,691.96x = 100,309.26 × 40,854.64
  4. Step 4: Simplify right side
    72,691.96x = 4,098,098,705.97
  5. Step 5: Solve for x
    x = 4,098,098,705.97/72,691.96
  6. Step 6: Final answer
    x = 56,376.23

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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.