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Finding the Fourth Proportional to 100,193.72, 138,279.29 and 61,978.61

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Solution

The fourth proportional to 100,193.72, 138,279.29 and 61,978.61 is: 85,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,193.72 : 138,279.29 = 61,978.61 : x
  2. Step 2: Convert to fraction form
    100,193.72/138,279.29 = 61,978.61/x
  3. Step 3: Cross multiply
    100,193.72x = 138,279.29 × 61,978.61
  4. Step 4: Simplify right side
    100,193.72x = 8,570,358,221.79
  5. Step 5: Solve for x
    x = 8,570,358,221.79/100,193.72
  6. Step 6: Final answer
    x = 85,537.88

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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.