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Finding the Fourth Proportional to 87.49, 120.73 and 50.65

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Solution

The fourth proportional to 87.49, 120.73 and 50.65 is: 69.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.49 : 120.73 = 50.65 : x
  2. Step 2: Convert to fraction form
    87.49/120.73 = 50.65/x
  3. Step 3: Cross multiply
    87.49x = 120.73 × 50.65
  4. Step 4: Simplify right side
    87.49x = 6,114.97
  5. Step 5: Solve for x
    x = 6,114.97/87.49
  6. Step 6: Final answer
    x = 69.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.