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Finding the Fourth Proportional to 91.96, 138.43 and 82.39

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Solution

The fourth proportional to 91.96, 138.43 and 82.39 is: 124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.96 : 138.43 = 82.39 : x
  2. Step 2: Convert to fraction form
    91.96/138.43 = 82.39/x
  3. Step 3: Cross multiply
    91.96x = 138.43 × 82.39
  4. Step 4: Simplify right side
    91.96x = 11,405.25
  5. Step 5: Solve for x
    x = 11,405.25/91.96
  6. Step 6: Final answer
    x = 124.02

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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.