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Finding the Fourth Proportional to 129.52, 194.34 and 78.12

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Solution

The fourth proportional to 129.52, 194.34 and 78.12 is: 117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.52 : 194.34 = 78.12 : x
  2. Step 2: Convert to fraction form
    129.52/194.34 = 78.12/x
  3. Step 3: Cross multiply
    129.52x = 194.34 × 78.12
  4. Step 4: Simplify right side
    129.52x = 15,181.84
  5. Step 5: Solve for x
    x = 15,181.84/129.52
  6. Step 6: Final answer
    x = 117.22

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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.