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Finding the Fourth Proportional to 75,144.92, 112,691.44 and 21,822.44

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Solution

The fourth proportional to 75,144.92, 112,691.44 and 21,822.44 is: 32,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144.92 : 112,691.44 = 21,822.44 : x
  2. Step 2: Convert to fraction form
    75,144.92/112,691.44 = 21,822.44/x
  3. Step 3: Cross multiply
    75,144.92x = 112,691.44 × 21,822.44
  4. Step 4: Simplify right side
    75,144.92x = 2,459,202,187.91
  5. Step 5: Solve for x
    x = 2,459,202,187.91/75,144.92
  6. Step 6: Final answer
    x = 32,726.13

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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.