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Finding the Fourth Proportional to 228,754.68, 315,694.02 and 126,778

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Solution

The fourth proportional to 228,754.68, 315,694.02 and 126,778 is: 174,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,754.68 : 315,694.02 = 126,778 : x
  2. Step 2: Convert to fraction form
    228,754.68/315,694.02 = 126,778/x
  3. Step 3: Cross multiply
    228,754.68x = 315,694.02 × 126,778
  4. Step 4: Simplify right side
    228,754.68x = 40,023,056,467.56
  5. Step 5: Solve for x
    x = 40,023,056,467.56/228,754.68
  6. Step 6: Final answer
    x = 174,960.60

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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.