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Finding the Fourth Proportional to 138,809.56, 208,253.22 and 55,761.88

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Solution

The fourth proportional to 138,809.56, 208,253.22 and 55,761.88 is: 83,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809.56 : 208,253.22 = 55,761.88 : x
  2. Step 2: Convert to fraction form
    138,809.56/208,253.22 = 55,761.88/x
  3. Step 3: Cross multiply
    138,809.56x = 208,253.22 × 55,761.88
  4. Step 4: Simplify right side
    138,809.56x = 11,612,591,063.25
  5. Step 5: Solve for x
    x = 11,612,591,063.25/138,809.56
  6. Step 6: Final answer
    x = 83,658.44

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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.