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Finding the Fourth Proportional to 257,515.20, 386,272.80 and 80,020.80

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Solution

The fourth proportional to 257,515.20, 386,272.80 and 80,020.80 is: 120,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,515.20 : 386,272.80 = 80,020.80 : x
  2. Step 2: Convert to fraction form
    257,515.20/386,272.80 = 80,020.80/x
  3. Step 3: Cross multiply
    257,515.20x = 386,272.80 × 80,020.80
  4. Step 4: Simplify right side
    257,515.20x = 30,909,858,474.24
  5. Step 5: Solve for x
    x = 30,909,858,474.24/257,515.20
  6. Step 6: Final answer
    x = 120,031.20

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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.