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Finding the Fourth Proportional to 144,750, 199,755 and 81,087.78

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Solution

The fourth proportional to 144,750, 199,755 and 81,087.78 is: 111,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,750 : 199,755 = 81,087.78 : x
  2. Step 2: Convert to fraction form
    144,750/199,755 = 81,087.78/x
  3. Step 3: Cross multiply
    144,750x = 199,755 × 81,087.78
  4. Step 4: Simplify right side
    144,750x = 16,197,689,493.90
  5. Step 5: Solve for x
    x = 16,197,689,493.90/144,750
  6. Step 6: Final answer
    x = 111,901.14

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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.