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Finding the Fourth Proportional to 123.04, 185.60 and 121.60

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Solution

The fourth proportional to 123.04, 185.60 and 121.60 is: 183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.04 : 185.60 = 121.60 : x
  2. Step 2: Convert to fraction form
    123.04/185.60 = 121.60/x
  3. Step 3: Cross multiply
    123.04x = 185.60 × 121.60
  4. Step 4: Simplify right side
    123.04x = 22,568.96
  5. Step 5: Solve for x
    x = 22,568.96/123.04
  6. Step 6: Final answer
    x = 183.43

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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.