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Finding the Fourth Proportional to 231,772.78, 347,659.17 and 126,534.34

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Solution

The fourth proportional to 231,772.78, 347,659.17 and 126,534.34 is: 189,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,772.78 : 347,659.17 = 126,534.34 : x
  2. Step 2: Convert to fraction form
    231,772.78/347,659.17 = 126,534.34/x
  3. Step 3: Cross multiply
    231,772.78x = 347,659.17 × 126,534.34
  4. Step 4: Simplify right side
    231,772.78x = 43,990,823,620.90
  5. Step 5: Solve for x
    x = 43,990,823,620.90/231,772.78
  6. Step 6: Final answer
    x = 189,801.51

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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.