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Finding the Fourth Proportional to 180,938.40, 271,213.20 and 68,575.20

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Solution

The fourth proportional to 180,938.40, 271,213.20 and 68,575.20 is: 102,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,938.40 : 271,213.20 = 68,575.20 : x
  2. Step 2: Convert to fraction form
    180,938.40/271,213.20 = 68,575.20/x
  3. Step 3: Cross multiply
    180,938.40x = 271,213.20 × 68,575.20
  4. Step 4: Simplify right side
    180,938.40x = 18,598,499,432.64
  5. Step 5: Solve for x
    x = 18,598,499,432.64/180,938.40
  6. Step 6: Final answer
    x = 102,789.12

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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.