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Finding the Fourth Proportional to 129.74, 193.78 and 109.23

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Solution

The fourth proportional to 129.74, 193.78 and 109.23 is: 163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.74 : 193.78 = 109.23 : x
  2. Step 2: Convert to fraction form
    129.74/193.78 = 109.23/x
  3. Step 3: Cross multiply
    129.74x = 193.78 × 109.23
  4. Step 4: Simplify right side
    129.74x = 21,167.40
  5. Step 5: Solve for x
    x = 21,167.40/129.74
  6. Step 6: Final answer
    x = 163.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.