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Finding the Fourth Proportional to 257,148.80, 385,780.80 and 99,363.20

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Solution

The fourth proportional to 257,148.80, 385,780.80 and 99,363.20 is: 149,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,148.80 : 385,780.80 = 99,363.20 : x
  2. Step 2: Convert to fraction form
    257,148.80/385,780.80 = 99,363.20/x
  3. Step 3: Cross multiply
    257,148.80x = 385,780.80 × 99,363.20
  4. Step 4: Simplify right side
    257,148.80x = 38,332,414,786.56
  5. Step 5: Solve for x
    x = 38,332,414,786.56/257,148.80
  6. Step 6: Final answer
    x = 149,067.06

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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.