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Finding the Fourth Proportional to 135.92, 187.61 and 122.09

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Solution

The fourth proportional to 135.92, 187.61 and 122.09 is: 168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.92 : 187.61 = 122.09 : x
  2. Step 2: Convert to fraction form
    135.92/187.61 = 122.09/x
  3. Step 3: Cross multiply
    135.92x = 187.61 × 122.09
  4. Step 4: Simplify right side
    135.92x = 22,904.21
  5. Step 5: Solve for x
    x = 22,904.21/135.92
  6. Step 6: Final answer
    x = 168.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.