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Finding the Fourth Proportional to 123,680, 185,520.52 and 52,584.32

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Solution

The fourth proportional to 123,680, 185,520.52 and 52,584.32 is: 78,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,680 : 185,520.52 = 52,584.32 : x
  2. Step 2: Convert to fraction form
    123,680/185,520.52 = 52,584.32/x
  3. Step 3: Cross multiply
    123,680x = 185,520.52 × 52,584.32
  4. Step 4: Simplify right side
    123,680x = 9,755,470,390.25
  5. Step 5: Solve for x
    x = 9,755,470,390.25/123,680
  6. Step 6: Final answer
    x = 78,876.70

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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.