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Finding the Fourth Proportional to 123.06, 169.61 and 113.25

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Solution

The fourth proportional to 123.06, 169.61 and 113.25 is: 156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.06 : 169.61 = 113.25 : x
  2. Step 2: Convert to fraction form
    123.06/169.61 = 113.25/x
  3. Step 3: Cross multiply
    123.06x = 169.61 × 113.25
  4. Step 4: Simplify right side
    123.06x = 19,208.33
  5. Step 5: Solve for x
    x = 19,208.33/123.06
  6. Step 6: Final answer
    x = 156.09

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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.