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Finding the Fourth Proportional to 100,385.87, 150,489.50 and 38,100.11

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Solution

The fourth proportional to 100,385.87, 150,489.50 and 38,100.11 is: 57,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.87 : 150,489.50 = 38,100.11 : x
  2. Step 2: Convert to fraction form
    100,385.87/150,489.50 = 38,100.11/x
  3. Step 3: Cross multiply
    100,385.87x = 150,489.50 × 38,100.11
  4. Step 4: Simplify right side
    100,385.87x = 5,733,665,560.90
  5. Step 5: Solve for x
    x = 5,733,665,560.90/100,385.87
  6. Step 6: Final answer
    x = 57,116.26

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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.