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Finding the Fourth Proportional to 123.00, 169.74 and 67.73

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Solution

The fourth proportional to 123.00, 169.74 and 67.73 is: 93.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.00 : 169.74 = 67.73 : x
  2. Step 2: Convert to fraction form
    123.00/169.74 = 67.73/x
  3. Step 3: Cross multiply
    123.00x = 169.74 × 67.73
  4. Step 4: Simplify right side
    123.00x = 11,496.25
  5. Step 5: Solve for x
    x = 11,496.25/123.00
  6. Step 6: Final answer
    x = 93.46

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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.