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Finding the Fourth Proportional to 205,874.68, 284,112.10 and 115,229.88

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Solution

The fourth proportional to 205,874.68, 284,112.10 and 115,229.88 is: 159,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,874.68 : 284,112.10 = 115,229.88 : x
  2. Step 2: Convert to fraction form
    205,874.68/284,112.10 = 115,229.88/x
  3. Step 3: Cross multiply
    205,874.68x = 284,112.10 × 115,229.88
  4. Step 4: Simplify right side
    205,874.68x = 32,738,203,189.55
  5. Step 5: Solve for x
    x = 32,738,203,189.55/205,874.68
  6. Step 6: Final answer
    x = 159,020.06

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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.