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Finding the Fourth Proportional to 123.09, 170.34 and 115.41

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Solution

The fourth proportional to 123.09, 170.34 and 115.41 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.09 : 170.34 = 115.41 : x
  2. Step 2: Convert to fraction form
    123.09/170.34 = 115.41/x
  3. Step 3: Cross multiply
    123.09x = 170.34 × 115.41
  4. Step 4: Simplify right side
    123.09x = 19,658.94
  5. Step 5: Solve for x
    x = 19,658.94/123.09
  6. Step 6: Final answer
    x = 159.71

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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.