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Finding the Fourth Proportional to 123.56, 171.33 and 119.46

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Solution

The fourth proportional to 123.56, 171.33 and 119.46 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.56 : 171.33 = 119.46 : x
  2. Step 2: Convert to fraction form
    123.56/171.33 = 119.46/x
  3. Step 3: Cross multiply
    123.56x = 171.33 × 119.46
  4. Step 4: Simplify right side
    123.56x = 20,467.08
  5. Step 5: Solve for x
    x = 20,467.08/123.56
  6. Step 6: Final answer
    x = 165.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.