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Finding the Fourth Proportional to 129.69, 193.50 and 122.85

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Solution

The fourth proportional to 129.69, 193.50 and 122.85 is: 183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.69 : 193.50 = 122.85 : x
  2. Step 2: Convert to fraction form
    129.69/193.50 = 122.85/x
  3. Step 3: Cross multiply
    129.69x = 193.50 × 122.85
  4. Step 4: Simplify right side
    129.69x = 23,771.48
  5. Step 5: Solve for x
    x = 23,771.48/129.69
  6. Step 6: Final answer
    x = 183.29

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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.