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Finding the Fourth Proportional to 257,520.43, 386,452.02 and 105,841.90

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Solution

The fourth proportional to 257,520.43, 386,452.02 and 105,841.90 is: 158,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,520.43 : 386,452.02 = 105,841.90 : x
  2. Step 2: Convert to fraction form
    257,520.43/386,452.02 = 105,841.90/x
  3. Step 3: Cross multiply
    257,520.43x = 386,452.02 × 105,841.90
  4. Step 4: Simplify right side
    257,520.43x = 40,902,814,123.38
  5. Step 5: Solve for x
    x = 40,902,814,123.38/257,520.43
  6. Step 6: Final answer
    x = 158,833.28

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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.