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Finding the Fourth Proportional to 138.92, 190.91 and 123.28

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Solution

The fourth proportional to 138.92, 190.91 and 123.28 is: 169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.92 : 190.91 = 123.28 : x
  2. Step 2: Convert to fraction form
    138.92/190.91 = 123.28/x
  3. Step 3: Cross multiply
    138.92x = 190.91 × 123.28
  4. Step 4: Simplify right side
    138.92x = 23,535.22
  5. Step 5: Solve for x
    x = 23,535.22/138.92
  6. Step 6: Final answer
    x = 169.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.