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Finding the Fourth Proportional to 257,720.70, 386,488.35 and 89,195.25

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Solution

The fourth proportional to 257,720.70, 386,488.35 and 89,195.25 is: 133,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,720.70 : 386,488.35 = 89,195.25 : x
  2. Step 2: Convert to fraction form
    257,720.70/386,488.35 = 89,195.25/x
  3. Step 3: Cross multiply
    257,720.70x = 386,488.35 × 89,195.25
  4. Step 4: Simplify right side
    257,720.70x = 34,472,925,000.34
  5. Step 5: Solve for x
    x = 34,472,925,000.34/257,720.70
  6. Step 6: Final answer
    x = 133,760.79

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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.