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Finding the Fourth Proportional to 82,616.72, 123,923.64 and 27,213.20

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Solution

The fourth proportional to 82,616.72, 123,923.64 and 27,213.20 is: 40,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,616.72 : 123,923.64 = 27,213.20 : x
  2. Step 2: Convert to fraction form
    82,616.72/123,923.64 = 27,213.20/x
  3. Step 3: Cross multiply
    82,616.72x = 123,923.64 × 27,213.20
  4. Step 4: Simplify right side
    82,616.72x = 3,372,358,800.05
  5. Step 5: Solve for x
    x = 3,372,358,800.05/82,616.72
  6. Step 6: Final answer
    x = 40,819.33

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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.