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Finding the Fourth Proportional to 227,249.28, 313,614.72 and 126,648

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Solution

The fourth proportional to 227,249.28, 313,614.72 and 126,648 is: 174,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,249.28 : 313,614.72 = 126,648 : x
  2. Step 2: Convert to fraction form
    227,249.28/313,614.72 = 126,648/x
  3. Step 3: Cross multiply
    227,249.28x = 313,614.72 × 126,648
  4. Step 4: Simplify right side
    227,249.28x = 39,718,677,058.56
  5. Step 5: Solve for x
    x = 39,718,677,058.56/227,249.28
  6. Step 6: Final answer
    x = 174,780.21

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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.