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Finding the Fourth Proportional to 252,912.89, 379,394.87 and 82,127.46

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Solution

The fourth proportional to 252,912.89, 379,394.87 and 82,127.46 is: 123,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,912.89 : 379,394.87 = 82,127.46 : x
  2. Step 2: Convert to fraction form
    252,912.89/379,394.87 = 82,127.46/x
  3. Step 3: Cross multiply
    252,912.89x = 379,394.87 × 82,127.46
  4. Step 4: Simplify right side
    252,912.89x = 31,158,737,010.13
  5. Step 5: Solve for x
    x = 31,158,737,010.13/252,912.89
  6. Step 6: Final answer
    x = 123,199.48

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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.