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Finding the Fourth Proportional to 257,713.18, 386,477.13 and 89,187.73

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Solution

The fourth proportional to 257,713.18, 386,477.13 and 89,187.73 is: 133,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,713.18 : 386,477.13 = 89,187.73 : x
  2. Step 2: Convert to fraction form
    257,713.18/386,477.13 = 89,187.73/x
  3. Step 3: Cross multiply
    257,713.18x = 386,477.13 × 89,187.73
  4. Step 4: Simplify right side
    257,713.18x = 34,469,017,921.61
  5. Step 5: Solve for x
    x = 34,469,017,921.61/257,713.18
  6. Step 6: Final answer
    x = 133,749.53

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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.