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Finding the Fourth Proportional to 123.68, 184.36 and 113.96

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Solution

The fourth proportional to 123.68, 184.36 and 113.96 is: 169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.68 : 184.36 = 113.96 : x
  2. Step 2: Convert to fraction form
    123.68/184.36 = 113.96/x
  3. Step 3: Cross multiply
    123.68x = 184.36 × 113.96
  4. Step 4: Simplify right side
    123.68x = 21,009.67
  5. Step 5: Solve for x
    x = 21,009.67/123.68
  6. Step 6: Final answer
    x = 169.87

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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.