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Finding the Fourth Proportional to 82.39, 113.75 and 60.61

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Solution

The fourth proportional to 82.39, 113.75 and 60.61 is: 83.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.39 : 113.75 = 60.61 : x
  2. Step 2: Convert to fraction form
    82.39/113.75 = 60.61/x
  3. Step 3: Cross multiply
    82.39x = 113.75 × 60.61
  4. Step 4: Simplify right side
    82.39x = 6,894.39
  5. Step 5: Solve for x
    x = 6,894.39/82.39
  6. Step 6: Final answer
    x = 83.68

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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.