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Finding the Fourth Proportional to 254,131.71, 381,211.25 and 67,138.11

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Solution

The fourth proportional to 254,131.71, 381,211.25 and 67,138.11 is: 100,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,131.71 : 381,211.25 = 67,138.11 : x
  2. Step 2: Convert to fraction form
    254,131.71/381,211.25 = 67,138.11/x
  3. Step 3: Cross multiply
    254,131.71x = 381,211.25 × 67,138.11
  4. Step 4: Simplify right side
    254,131.71x = 25,593,802,500.05
  5. Step 5: Solve for x
    x = 25,593,802,500.05/254,131.71
  6. Step 6: Final answer
    x = 100,710.78

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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.