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Finding the Fourth Proportional to 252,352.55, 378,566.78 and 81,517.25

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Solution

The fourth proportional to 252,352.55, 378,566.78 and 81,517.25 is: 122,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,352.55 : 378,566.78 = 81,517.25 : x
  2. Step 2: Convert to fraction form
    252,352.55/378,566.78 = 81,517.25/x
  3. Step 3: Cross multiply
    252,352.55x = 378,566.78 × 81,517.25
  4. Step 4: Simplify right side
    252,352.55x = 30,859,723,385.79
  5. Step 5: Solve for x
    x = 30,859,723,385.79/252,352.55
  6. Step 6: Final answer
    x = 122,288.14

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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.