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Finding the Fourth Proportional to 54.57, 81.17 and 49.70

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Solution

The fourth proportional to 54.57, 81.17 and 49.70 is: 73.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.57 : 81.17 = 49.70 : x
  2. Step 2: Convert to fraction form
    54.57/81.17 = 49.70/x
  3. Step 3: Cross multiply
    54.57x = 81.17 × 49.70
  4. Step 4: Simplify right side
    54.57x = 4,033.89
  5. Step 5: Solve for x
    x = 4,033.89/54.57
  6. Step 6: Final answer
    x = 73.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.