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Finding the Fourth Proportional to 83.49, 124.56 and 81.33

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Solution

The fourth proportional to 83.49, 124.56 and 81.33 is: 121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.49 : 124.56 = 81.33 : x
  2. Step 2: Convert to fraction form
    83.49/124.56 = 81.33/x
  3. Step 3: Cross multiply
    83.49x = 124.56 × 81.33
  4. Step 4: Simplify right side
    83.49x = 10,130.46
  5. Step 5: Solve for x
    x = 10,130.46/83.49
  6. Step 6: Final answer
    x = 121.34

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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.