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Finding the Fourth Proportional to 129.69, 194.28 and 86.23

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Solution

The fourth proportional to 129.69, 194.28 and 86.23 is: 129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.69 : 194.28 = 86.23 : x
  2. Step 2: Convert to fraction form
    129.69/194.28 = 86.23/x
  3. Step 3: Cross multiply
    129.69x = 194.28 × 86.23
  4. Step 4: Simplify right side
    129.69x = 16,752.12
  5. Step 5: Solve for x
    x = 16,752.12/129.69
  6. Step 6: Final answer
    x = 129.17

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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.