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Finding the Fourth Proportional to 123.10, 168.75 and 121.03

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Solution

The fourth proportional to 123.10, 168.75 and 121.03 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 168.75 = 121.03 : x
  2. Step 2: Convert to fraction form
    123.10/168.75 = 121.03/x
  3. Step 3: Cross multiply
    123.10x = 168.75 × 121.03
  4. Step 4: Simplify right side
    123.10x = 20,423.39
  5. Step 5: Solve for x
    x = 20,423.39/123.10
  6. Step 6: Final answer
    x = 165.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.