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Finding the Fourth Proportional to 129.62, 178.98 and 80.48

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Solution

The fourth proportional to 129.62, 178.98 and 80.48 is: 111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.62 : 178.98 = 80.48 : x
  2. Step 2: Convert to fraction form
    129.62/178.98 = 80.48/x
  3. Step 3: Cross multiply
    129.62x = 178.98 × 80.48
  4. Step 4: Simplify right side
    129.62x = 14,404.31
  5. Step 5: Solve for x
    x = 14,404.31/129.62
  6. Step 6: Final answer
    x = 111.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.