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Finding the Fourth Proportional to 172,755.72, 238,321.44 and 101,091.78

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Solution

The fourth proportional to 172,755.72, 238,321.44 and 101,091.78 is: 139,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,755.72 : 238,321.44 = 101,091.78 : x
  2. Step 2: Convert to fraction form
    172,755.72/238,321.44 = 101,091.78/x
  3. Step 3: Cross multiply
    172,755.72x = 238,321.44 × 101,091.78
  4. Step 4: Simplify right side
    172,755.72x = 24,092,338,581.76
  5. Step 5: Solve for x
    x = 24,092,338,581.76/172,755.72
  6. Step 6: Final answer
    x = 139,458.99

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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.