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Finding the Fourth Proportional to 123.15, 170.82 and 120.11

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Solution

The fourth proportional to 123.15, 170.82 and 120.11 is: 166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.15 : 170.82 = 120.11 : x
  2. Step 2: Convert to fraction form
    123.15/170.82 = 120.11/x
  3. Step 3: Cross multiply
    123.15x = 170.82 × 120.11
  4. Step 4: Simplify right side
    123.15x = 20,516.53
  5. Step 5: Solve for x
    x = 20,516.53/123.15
  6. Step 6: Final answer
    x = 166.60

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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.