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Finding the Fourth Proportional to 129.32, 194.09 and 71.60

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Solution

The fourth proportional to 129.32, 194.09 and 71.60 is: 107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 194.09 = 71.60 : x
  2. Step 2: Convert to fraction form
    129.32/194.09 = 71.60/x
  3. Step 3: Cross multiply
    129.32x = 194.09 × 71.60
  4. Step 4: Simplify right side
    129.32x = 13,895.52
  5. Step 5: Solve for x
    x = 13,895.52/129.32
  6. Step 6: Final answer
    x = 107.45

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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.