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Finding the Fourth Proportional to 257,700.69, 386,456.27 and 89,177.76

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Solution

The fourth proportional to 257,700.69, 386,456.27 and 89,177.76 is: 133,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,700.69 : 386,456.27 = 89,177.76 : x
  2. Step 2: Convert to fraction form
    257,700.69/386,456.27 = 89,177.76/x
  3. Step 3: Cross multiply
    257,700.69x = 386,456.27 × 89,177.76
  4. Step 4: Simplify right side
    257,700.69x = 34,463,304,050.67
  5. Step 5: Solve for x
    x = 34,463,304,050.67/257,700.69
  6. Step 6: Final answer
    x = 133,733.84

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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.