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Finding the Fourth Proportional to 130.24, 194.97 and 86.74

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Solution

The fourth proportional to 130.24, 194.97 and 86.74 is: 129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.24 : 194.97 = 86.74 : x
  2. Step 2: Convert to fraction form
    130.24/194.97 = 86.74/x
  3. Step 3: Cross multiply
    130.24x = 194.97 × 86.74
  4. Step 4: Simplify right side
    130.24x = 16,911.70
  5. Step 5: Solve for x
    x = 16,911.70/130.24
  6. Step 6: Final answer
    x = 129.85

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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.