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Finding the Fourth Proportional to 57,331.70, 85,827.45 and 42,605.90

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Solution

The fourth proportional to 57,331.70, 85,827.45 and 42,605.90 is: 63,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,331.70 : 85,827.45 = 42,605.90 : x
  2. Step 2: Convert to fraction form
    57,331.70/85,827.45 = 42,605.90/x
  3. Step 3: Cross multiply
    57,331.70x = 85,827.45 × 42,605.90
  4. Step 4: Simplify right side
    57,331.70x = 3,656,755,751.96
  5. Step 5: Solve for x
    x = 3,656,755,751.96/57,331.70
  6. Step 6: Final answer
    x = 63,782.44

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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.