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Finding the Fourth Proportional to 257,376.52, 385,957.86 and 99,514

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Solution

The fourth proportional to 257,376.52, 385,957.86 and 99,514 is: 149,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,376.52 : 385,957.86 = 99,514 : x
  2. Step 2: Convert to fraction form
    257,376.52/385,957.86 = 99,514/x
  3. Step 3: Cross multiply
    257,376.52x = 385,957.86 × 99,514
  4. Step 4: Simplify right side
    257,376.52x = 38,408,210,480.04
  5. Step 5: Solve for x
    x = 38,408,210,480.04/257,376.52
  6. Step 6: Final answer
    x = 149,229.66

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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.