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Finding the Fourth Proportional to 123.93, 170.21 and 122.13

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Solution

The fourth proportional to 123.93, 170.21 and 122.13 is: 167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 170.21 = 122.13 : x
  2. Step 2: Convert to fraction form
    123.93/170.21 = 122.13/x
  3. Step 3: Cross multiply
    123.93x = 170.21 × 122.13
  4. Step 4: Simplify right side
    123.93x = 20,788.05
  5. Step 5: Solve for x
    x = 20,788.05/123.93
  6. Step 6: Final answer
    x = 167.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.