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Finding the Fourth Proportional to 123.02, 185.30 and 111.68

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Solution

The fourth proportional to 123.02, 185.30 and 111.68 is: 168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.02 : 185.30 = 111.68 : x
  2. Step 2: Convert to fraction form
    123.02/185.30 = 111.68/x
  3. Step 3: Cross multiply
    123.02x = 185.30 × 111.68
  4. Step 4: Simplify right side
    123.02x = 20,694.30
  5. Step 5: Solve for x
    x = 20,694.30/123.02
  6. Step 6: Final answer
    x = 168.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.