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Finding the Fourth Proportional to 123.98, 169.84 and 119.36

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Solution

The fourth proportional to 123.98, 169.84 and 119.36 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.98 : 169.84 = 119.36 : x
  2. Step 2: Convert to fraction form
    123.98/169.84 = 119.36/x
  3. Step 3: Cross multiply
    123.98x = 169.84 × 119.36
  4. Step 4: Simplify right side
    123.98x = 20,271.25
  5. Step 5: Solve for x
    x = 20,271.25/123.98
  6. Step 6: Final answer
    x = 163.51

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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.