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Finding the Fourth Proportional to 72,117.52, 108,175.79 and 29,422.78

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Solution

The fourth proportional to 72,117.52, 108,175.79 and 29,422.78 is: 44,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,117.52 : 108,175.79 = 29,422.78 : x
  2. Step 2: Convert to fraction form
    72,117.52/108,175.79 = 29,422.78/x
  3. Step 3: Cross multiply
    72,117.52x = 108,175.79 × 29,422.78
  4. Step 4: Simplify right side
    72,117.52x = 3,182,832,273.61
  5. Step 5: Solve for x
    x = 3,182,832,273.61/72,117.52
  6. Step 6: Final answer
    x = 44,133.97

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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.