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Finding the Fourth Proportional to 252,116.48, 347,906.56 and 138,938.88

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Solution

The fourth proportional to 252,116.48, 347,906.56 and 138,938.88 is: 191,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,116.48 : 347,906.56 = 138,938.88 : x
  2. Step 2: Convert to fraction form
    252,116.48/347,906.56 = 138,938.88/x
  3. Step 3: Cross multiply
    252,116.48x = 347,906.56 × 138,938.88
  4. Step 4: Simplify right side
    252,116.48x = 48,337,747,791.05
  5. Step 5: Solve for x
    x = 48,337,747,791.05/252,116.48
  6. Step 6: Final answer
    x = 191,727.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.