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Finding the Fourth Proportional to 129.80, 193.29 and 123.12

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Solution

The fourth proportional to 129.80, 193.29 and 123.12 is: 183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.80 : 193.29 = 123.12 : x
  2. Step 2: Convert to fraction form
    129.80/193.29 = 123.12/x
  3. Step 3: Cross multiply
    129.80x = 193.29 × 123.12
  4. Step 4: Simplify right side
    129.80x = 23,797.40
  5. Step 5: Solve for x
    x = 23,797.40/129.80
  6. Step 6: Final answer
    x = 183.34

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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.