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Finding the Fourth Proportional to 128.68, 191.85 and 123.24

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Solution

The fourth proportional to 128.68, 191.85 and 123.24 is: 183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.68 : 191.85 = 123.24 : x
  2. Step 2: Convert to fraction form
    128.68/191.85 = 123.24/x
  3. Step 3: Cross multiply
    128.68x = 191.85 × 123.24
  4. Step 4: Simplify right side
    128.68x = 23,642.33
  5. Step 5: Solve for x
    x = 23,642.33/128.68
  6. Step 6: Final answer
    x = 183.73

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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.