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Finding the Fourth Proportional to 142.82, 197.06 and 84.59

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Solution

The fourth proportional to 142.82, 197.06 and 84.59 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 197.06 = 84.59 : x
  2. Step 2: Convert to fraction form
    142.82/197.06 = 84.59/x
  3. Step 3: Cross multiply
    142.82x = 197.06 × 84.59
  4. Step 4: Simplify right side
    142.82x = 16,667.90
  5. Step 5: Solve for x
    x = 16,667.90/142.82
  6. Step 6: Final answer
    x = 116.71

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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.