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Finding the Fourth Proportional to 83.24, 114.86 and 71.57

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Solution

The fourth proportional to 83.24, 114.86 and 71.57 is: 98.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.24 : 114.86 = 71.57 : x
  2. Step 2: Convert to fraction form
    83.24/114.86 = 71.57/x
  3. Step 3: Cross multiply
    83.24x = 114.86 × 71.57
  4. Step 4: Simplify right side
    83.24x = 8,220.17
  5. Step 5: Solve for x
    x = 8,220.17/83.24
  6. Step 6: Final answer
    x = 98.75

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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.