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Finding the Fourth Proportional to 123.26, 184.68 and 95.72

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Solution

The fourth proportional to 123.26, 184.68 and 95.72 is: 143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.26 : 184.68 = 95.72 : x
  2. Step 2: Convert to fraction form
    123.26/184.68 = 95.72/x
  3. Step 3: Cross multiply
    123.26x = 184.68 × 95.72
  4. Step 4: Simplify right side
    123.26x = 17,676.65
  5. Step 5: Solve for x
    x = 17,676.65/123.26
  6. Step 6: Final answer
    x = 143.42

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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.