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Finding the Fourth Proportional to 66,951.84, 100,427.92 and 27,481.20

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Solution

The fourth proportional to 66,951.84, 100,427.92 and 27,481.20 is: 41,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,951.84 : 100,427.92 = 27,481.20 : x
  2. Step 2: Convert to fraction form
    66,951.84/100,427.92 = 27,481.20/x
  3. Step 3: Cross multiply
    66,951.84x = 100,427.92 × 27,481.20
  4. Step 4: Simplify right side
    66,951.84x = 2,759,879,755.10
  5. Step 5: Solve for x
    x = 2,759,879,755.10/66,951.84
  6. Step 6: Final answer
    x = 41,221.87

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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.