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Finding the Fourth Proportional to 84.24, 127.17 and 83.76

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Solution

The fourth proportional to 84.24, 127.17 and 83.76 is: 126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.24 : 127.17 = 83.76 : x
  2. Step 2: Convert to fraction form
    84.24/127.17 = 83.76/x
  3. Step 3: Cross multiply
    84.24x = 127.17 × 83.76
  4. Step 4: Simplify right side
    84.24x = 10,651.76
  5. Step 5: Solve for x
    x = 10,651.76/84.24
  6. Step 6: Final answer
    x = 126.45

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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.