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Finding the Fourth Proportional to 71,561.61, 107,342.42 and 27,177.93

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Solution

The fourth proportional to 71,561.61, 107,342.42 and 27,177.93 is: 40,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,561.61 : 107,342.42 = 27,177.93 : x
  2. Step 2: Convert to fraction form
    71,561.61/107,342.42 = 27,177.93/x
  3. Step 3: Cross multiply
    71,561.61x = 107,342.42 × 27,177.93
  4. Step 4: Simplify right side
    71,561.61x = 2,917,344,640.90
  5. Step 5: Solve for x
    x = 2,917,344,640.90/71,561.61
  6. Step 6: Final answer
    x = 40,766.90

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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.