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Finding the Fourth Proportional to 123.22, 183.92 and 92.64

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Solution

The fourth proportional to 123.22, 183.92 and 92.64 is: 138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.22 : 183.92 = 92.64 : x
  2. Step 2: Convert to fraction form
    123.22/183.92 = 92.64/x
  3. Step 3: Cross multiply
    123.22x = 183.92 × 92.64
  4. Step 4: Simplify right side
    123.22x = 17,039.10
  5. Step 5: Solve for x
    x = 17,039.10/123.22
  6. Step 6: Final answer
    x = 138.28

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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.