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Finding the Fourth Proportional to 138,755, 208,161.66 and 55,649

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Solution

The fourth proportional to 138,755, 208,161.66 and 55,649 is: 83,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,755 : 208,161.66 = 55,649 : x
  2. Step 2: Convert to fraction form
    138,755/208,161.66 = 55,649/x
  3. Step 3: Cross multiply
    138,755x = 208,161.66 × 55,649
  4. Step 4: Simplify right side
    138,755x = 11,583,988,217.34
  5. Step 5: Solve for x
    x = 11,583,988,217.34/138,755
  6. Step 6: Final answer
    x = 83,485.19

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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.