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Finding the Fourth Proportional to 84.73, 127.88 and 82.57

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Solution

The fourth proportional to 84.73, 127.88 and 82.57 is: 124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.73 : 127.88 = 82.57 : x
  2. Step 2: Convert to fraction form
    84.73/127.88 = 82.57/x
  3. Step 3: Cross multiply
    84.73x = 127.88 × 82.57
  4. Step 4: Simplify right side
    84.73x = 10,559.05
  5. Step 5: Solve for x
    x = 10,559.05/84.73
  6. Step 6: Final answer
    x = 124.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.