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Finding the Fourth Proportional to 257,542.56, 386,219.20 and 89,019.68

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Solution

The fourth proportional to 257,542.56, 386,219.20 and 89,019.68 is: 133,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,542.56 : 386,219.20 = 89,019.68 : x
  2. Step 2: Convert to fraction form
    257,542.56/386,219.20 = 89,019.68/x
  3. Step 3: Cross multiply
    257,542.56x = 386,219.20 × 89,019.68
  4. Step 4: Simplify right side
    257,542.56x = 34,381,109,593.86
  5. Step 5: Solve for x
    x = 34,381,109,593.86/257,542.56
  6. Step 6: Final answer
    x = 133,496.81

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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.