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Finding the Fourth Proportional to 80,311.86, 110,729.61 and 51,580.80

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Solution

The fourth proportional to 80,311.86, 110,729.61 and 51,580.80 is: 71,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,311.86 : 110,729.61 = 51,580.80 : x
  2. Step 2: Convert to fraction form
    80,311.86/110,729.61 = 51,580.80/x
  3. Step 3: Cross multiply
    80,311.86x = 110,729.61 × 51,580.80
  4. Step 4: Simplify right side
    80,311.86x = 5,711,521,867.49
  5. Step 5: Solve for x
    x = 5,711,521,867.49/80,311.86
  6. Step 6: Final answer
    x = 71,116.79

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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.