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Finding the Fourth Proportional to 57,241.92, 85,863.12 and 20,280

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Solution

The fourth proportional to 57,241.92, 85,863.12 and 20,280 is: 30,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,241.92 : 85,863.12 = 20,280 : x
  2. Step 2: Convert to fraction form
    57,241.92/85,863.12 = 20,280/x
  3. Step 3: Cross multiply
    57,241.92x = 85,863.12 × 20,280
  4. Step 4: Simplify right side
    57,241.92x = 1,741,304,073.60
  5. Step 5: Solve for x
    x = 1,741,304,073.60/57,241.92
  6. Step 6: Final answer
    x = 30,420.09

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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.