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Finding the Fourth Proportional to 172,972.92, 258,992.10 and 89,691.96

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Solution

The fourth proportional to 172,972.92, 258,992.10 and 89,691.96 is: 134,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,972.92 : 258,992.10 = 89,691.96 : x
  2. Step 2: Convert to fraction form
    172,972.92/258,992.10 = 89,691.96/x
  3. Step 3: Cross multiply
    172,972.92x = 258,992.10 × 89,691.96
  4. Step 4: Simplify right side
    172,972.92x = 23,229,509,073.52
  5. Step 5: Solve for x
    x = 23,229,509,073.52/172,972.92
  6. Step 6: Final answer
    x = 134,295.64

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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.