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Finding the Fourth Proportional to 129.92, 179.16 and 88.53

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Solution

The fourth proportional to 129.92, 179.16 and 88.53 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.92 : 179.16 = 88.53 : x
  2. Step 2: Convert to fraction form
    129.92/179.16 = 88.53/x
  3. Step 3: Cross multiply
    129.92x = 179.16 × 88.53
  4. Step 4: Simplify right side
    129.92x = 15,861.03
  5. Step 5: Solve for x
    x = 15,861.03/129.92
  6. Step 6: Final answer
    x = 122.09

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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.