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Finding the Fourth Proportional to 80,729.92, 111,478.08 and 78,086.08

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Solution

The fourth proportional to 80,729.92, 111,478.08 and 78,086.08 is: 107,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,729.92 : 111,478.08 = 78,086.08 : x
  2. Step 2: Convert to fraction form
    80,729.92/111,478.08 = 78,086.08/x
  3. Step 3: Cross multiply
    80,729.92x = 111,478.08 × 78,086.08
  4. Step 4: Simplify right side
    80,729.92x = 8,704,886,273.13
  5. Step 5: Solve for x
    x = 8,704,886,273.13/80,729.92
  6. Step 6: Final answer
    x = 107,827.26

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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.