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Finding the Fourth Proportional to 227,257.28, 313,625.76 and 126,656

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Solution

The fourth proportional to 227,257.28, 313,625.76 and 126,656 is: 174,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,257.28 : 313,625.76 = 126,656 : x
  2. Step 2: Convert to fraction form
    227,257.28/313,625.76 = 126,656/x
  3. Step 3: Cross multiply
    227,257.28x = 313,625.76 × 126,656
  4. Step 4: Simplify right side
    227,257.28x = 39,722,584,258.56
  5. Step 5: Solve for x
    x = 39,722,584,258.56/227,257.28
  6. Step 6: Final answer
    x = 174,791.25

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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.