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Finding the Fourth Proportional to 87.74, 121.04 and 54.53

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Solution

The fourth proportional to 87.74, 121.04 and 54.53 is: 75.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 121.04 = 54.53 : x
  2. Step 2: Convert to fraction form
    87.74/121.04 = 54.53/x
  3. Step 3: Cross multiply
    87.74x = 121.04 × 54.53
  4. Step 4: Simplify right side
    87.74x = 6,600.31
  5. Step 5: Solve for x
    x = 6,600.31/87.74
  6. Step 6: Final answer
    x = 75.23

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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.