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Finding the Fourth Proportional to 100,432.64, 150,648.96 and 38,103.20

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Solution

The fourth proportional to 100,432.64, 150,648.96 and 38,103.20 is: 57,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.64 : 150,648.96 = 38,103.20 : x
  2. Step 2: Convert to fraction form
    100,432.64/150,648.96 = 38,103.20/x
  3. Step 3: Cross multiply
    100,432.64x = 150,648.96 × 38,103.20
  4. Step 4: Simplify right side
    100,432.64x = 5,740,207,452.67
  5. Step 5: Solve for x
    x = 5,740,207,452.67/100,432.64
  6. Step 6: Final answer
    x = 57,154.80

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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.