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Finding the Fourth Proportional to 80,183.28, 120,245.76 and 27,578.64

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Solution

The fourth proportional to 80,183.28, 120,245.76 and 27,578.64 is: 41,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,183.28 : 120,245.76 = 27,578.64 : x
  2. Step 2: Convert to fraction form
    80,183.28/120,245.76 = 27,578.64/x
  3. Step 3: Cross multiply
    80,183.28x = 120,245.76 × 27,578.64
  4. Step 4: Simplify right side
    80,183.28x = 3,316,214,526.57
  5. Step 5: Solve for x
    x = 3,316,214,526.57/80,183.28
  6. Step 6: Final answer
    x = 41,357.93

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1.5x scale

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.