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Finding the Fourth Proportional to 72,286.80, 108,306.82 and 51,191.80

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Solution

The fourth proportional to 72,286.80, 108,306.82 and 51,191.80 is: 76,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286.80 : 108,306.82 = 51,191.80 : x
  2. Step 2: Convert to fraction form
    72,286.80/108,306.82 = 51,191.80/x
  3. Step 3: Cross multiply
    72,286.80x = 108,306.82 × 51,191.80
  4. Step 4: Simplify right side
    72,286.80x = 5,544,420,861.30
  5. Step 5: Solve for x
    x = 5,544,420,861.30/72,286.80
  6. Step 6: Final answer
    x = 76,700.32

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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.