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Finding the Fourth Proportional to 172,909, 238,811.25 and 116,221.96

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Solution

The fourth proportional to 172,909, 238,811.25 and 116,221.96 is: 160,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,909 : 238,811.25 = 116,221.96 : x
  2. Step 2: Convert to fraction form
    172,909/238,811.25 = 116,221.96/x
  3. Step 3: Cross multiply
    172,909x = 238,811.25 × 116,221.96
  4. Step 4: Simplify right side
    172,909x = 27,755,111,545.05
  5. Step 5: Solve for x
    x = 27,755,111,545.05/172,909
  6. Step 6: Final answer
    x = 160,518.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.