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Finding the Fourth Proportional to 144,755, 199,761.90 and 81,092.78

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Solution

The fourth proportional to 144,755, 199,761.90 and 81,092.78 is: 111,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,755 : 199,761.90 = 81,092.78 : x
  2. Step 2: Convert to fraction form
    144,755/199,761.90 = 81,092.78/x
  3. Step 3: Cross multiply
    144,755x = 199,761.90 × 81,092.78
  4. Step 4: Simplify right side
    144,755x = 16,199,247,809.08
  5. Step 5: Solve for x
    x = 16,199,247,809.08/144,755
  6. Step 6: Final answer
    x = 111,908.04

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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.