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Finding the Fourth Proportional to 80,338.32, 120,563.12 and 27,748.24

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Solution

The fourth proportional to 80,338.32, 120,563.12 and 27,748.24 is: 41,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,338.32 : 120,563.12 = 27,748.24 : x
  2. Step 2: Convert to fraction form
    80,338.32/120,563.12 = 27,748.24/x
  3. Step 3: Cross multiply
    80,338.32x = 120,563.12 × 27,748.24
  4. Step 4: Simplify right side
    80,338.32x = 3,345,414,388.91
  5. Step 5: Solve for x
    x = 3,345,414,388.91/80,338.32
  6. Step 6: Final answer
    x = 41,641.58

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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.