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Finding the Fourth Proportional to 172,972.80, 259,098.24 and 89,614.08

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Solution

The fourth proportional to 172,972.80, 259,098.24 and 89,614.08 is: 134,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,972.80 : 259,098.24 = 89,614.08 : x
  2. Step 2: Convert to fraction form
    172,972.80/259,098.24 = 89,614.08/x
  3. Step 3: Cross multiply
    172,972.80x = 259,098.24 × 89,614.08
  4. Step 4: Simplify right side
    172,972.80x = 23,218,850,407.22
  5. Step 5: Solve for x
    x = 23,218,850,407.22/172,972.80
  6. Step 6: Final answer
    x = 134,234.11

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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.