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Finding the Fourth Proportional to 128.86, 193.56 and 123.22

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Solution

The fourth proportional to 128.86, 193.56 and 123.22 is: 185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.86 : 193.56 = 123.22 : x
  2. Step 2: Convert to fraction form
    128.86/193.56 = 123.22/x
  3. Step 3: Cross multiply
    128.86x = 193.56 × 123.22
  4. Step 4: Simplify right side
    128.86x = 23,850.24
  5. Step 5: Solve for x
    x = 23,850.24/128.86
  6. Step 6: Final answer
    x = 185.09

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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.