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Finding the Fourth Proportional to 123.10, 169.50 and 102.35

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Solution

The fourth proportional to 123.10, 169.50 and 102.35 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 169.50 = 102.35 : x
  2. Step 2: Convert to fraction form
    123.10/169.50 = 102.35/x
  3. Step 3: Cross multiply
    123.10x = 169.50 × 102.35
  4. Step 4: Simplify right side
    123.10x = 17,348.33
  5. Step 5: Solve for x
    x = 17,348.33/123.10
  6. Step 6: Final answer
    x = 140.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.