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Finding the Fourth Proportional to 103, 141.96 and 84.52

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Solution

The fourth proportional to 103, 141.96 and 84.52 is: 116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103 : 141.96 = 84.52 : x
  2. Step 2: Convert to fraction form
    103/141.96 = 84.52/x
  3. Step 3: Cross multiply
    103x = 141.96 × 84.52
  4. Step 4: Simplify right side
    103x = 11,998.46
  5. Step 5: Solve for x
    x = 11,998.46/103
  6. Step 6: Final answer
    x = 116.49

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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.