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Finding the Fourth Proportional to 128.88, 193.19 and 122.13

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Solution

The fourth proportional to 128.88, 193.19 and 122.13 is: 183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.88 : 193.19 = 122.13 : x
  2. Step 2: Convert to fraction form
    128.88/193.19 = 122.13/x
  3. Step 3: Cross multiply
    128.88x = 193.19 × 122.13
  4. Step 4: Simplify right side
    128.88x = 23,593.68
  5. Step 5: Solve for x
    x = 23,593.68/128.88
  6. Step 6: Final answer
    x = 183.07

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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.