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Finding the Fourth Proportional to 185,755.47, 278,633.20 and 45,512.88

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Solution

The fourth proportional to 185,755.47, 278,633.20 and 45,512.88 is: 68,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,755.47 : 278,633.20 = 45,512.88 : x
  2. Step 2: Convert to fraction form
    185,755.47/278,633.20 = 45,512.88/x
  3. Step 3: Cross multiply
    185,755.47x = 278,633.20 × 45,512.88
  4. Step 4: Simplify right side
    185,755.47x = 12,681,398,002.45
  5. Step 5: Solve for x
    x = 12,681,398,002.45/185,755.47
  6. Step 6: Final answer
    x = 68,269.31

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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.