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Finding the Fourth Proportional to 129.92, 194.92 and 78.54

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Solution

The fourth proportional to 129.92, 194.92 and 78.54 is: 117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.92 : 194.92 = 78.54 : x
  2. Step 2: Convert to fraction form
    129.92/194.92 = 78.54/x
  3. Step 3: Cross multiply
    129.92x = 194.92 × 78.54
  4. Step 4: Simplify right side
    129.92x = 15,309.02
  5. Step 5: Solve for x
    x = 15,309.02/129.92
  6. Step 6: Final answer
    x = 117.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.