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Finding the Fourth Proportional to 80,502.57, 120,809.21 and 27,912.05

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Solution

The fourth proportional to 80,502.57, 120,809.21 and 27,912.05 is: 41,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,502.57 : 120,809.21 = 27,912.05 : x
  2. Step 2: Convert to fraction form
    80,502.57/120,809.21 = 27,912.05/x
  3. Step 3: Cross multiply
    80,502.57x = 120,809.21 × 27,912.05
  4. Step 4: Simplify right side
    80,502.57x = 3,372,033,081.78
  5. Step 5: Solve for x
    x = 3,372,033,081.78/80,502.57
  6. Step 6: Final answer
    x = 41,887.27

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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.