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Finding the Fourth Proportional to 129.24, 178.08 and 94.14

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Solution

The fourth proportional to 129.24, 178.08 and 94.14 is: 129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.24 : 178.08 = 94.14 : x
  2. Step 2: Convert to fraction form
    129.24/178.08 = 94.14/x
  3. Step 3: Cross multiply
    129.24x = 178.08 × 94.14
  4. Step 4: Simplify right side
    129.24x = 16,764.45
  5. Step 5: Solve for x
    x = 16,764.45/129.24
  6. Step 6: Final answer
    x = 129.72

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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.