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Finding the Fourth Proportional to 123.53, 169.05 and 121.01

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Solution

The fourth proportional to 123.53, 169.05 and 121.01 is: 165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.53 : 169.05 = 121.01 : x
  2. Step 2: Convert to fraction form
    123.53/169.05 = 121.01/x
  3. Step 3: Cross multiply
    123.53x = 169.05 × 121.01
  4. Step 4: Simplify right side
    123.53x = 20,456.74
  5. Step 5: Solve for x
    x = 20,456.74/123.53
  6. Step 6: Final answer
    x = 165.60

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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.