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Finding the Fourth Proportional to 123.88, 169.92 and 120.40

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Solution

The fourth proportional to 123.88, 169.92 and 120.40 is: 165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.88 : 169.92 = 120.40 : x
  2. Step 2: Convert to fraction form
    123.88/169.92 = 120.40/x
  3. Step 3: Cross multiply
    123.88x = 169.92 × 120.40
  4. Step 4: Simplify right side
    123.88x = 20,458.37
  5. Step 5: Solve for x
    x = 20,458.37/123.88
  6. Step 6: Final answer
    x = 165.15

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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.