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Finding the Fourth Proportional to 71,446.32, 107,154.90 and 27,057.78

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Solution

The fourth proportional to 71,446.32, 107,154.90 and 27,057.78 is: 40,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,446.32 : 107,154.90 = 27,057.78 : x
  2. Step 2: Convert to fraction form
    71,446.32/107,154.90 = 27,057.78/x
  3. Step 3: Cross multiply
    71,446.32x = 107,154.90 × 27,057.78
  4. Step 4: Simplify right side
    71,446.32x = 2,899,373,710.12
  5. Step 5: Solve for x
    x = 2,899,373,710.12/71,446.32
  6. Step 6: Final answer
    x = 40,581.15

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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.