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Finding the Fourth Proportional to 103.09, 141.78 and 82.12

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Solution

The fourth proportional to 103.09, 141.78 and 82.12 is: 112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.09 : 141.78 = 82.12 : x
  2. Step 2: Convert to fraction form
    103.09/141.78 = 82.12/x
  3. Step 3: Cross multiply
    103.09x = 141.78 × 82.12
  4. Step 4: Simplify right side
    103.09x = 11,642.97
  5. Step 5: Solve for x
    x = 11,642.97/103.09
  6. Step 6: Final answer
    x = 112.94

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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.