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Finding the Fourth Proportional to 257,638.80, 386,442 and 80,132.16

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Solution

The fourth proportional to 257,638.80, 386,442 and 80,132.16 is: 120,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,638.80 : 386,442 = 80,132.16 : x
  2. Step 2: Convert to fraction form
    257,638.80/386,442 = 80,132.16/x
  3. Step 3: Cross multiply
    257,638.80x = 386,442 × 80,132.16
  4. Step 4: Simplify right side
    257,638.80x = 30,966,432,174.72
  5. Step 5: Solve for x
    x = 30,966,432,174.72/257,638.80
  6. Step 6: Final answer
    x = 120,193.20

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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.