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Finding the Fourth Proportional to 123.11, 169.91 and 102.35

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Solution

The fourth proportional to 123.11, 169.91 and 102.35 is: 141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.11 : 169.91 = 102.35 : x
  2. Step 2: Convert to fraction form
    123.11/169.91 = 102.35/x
  3. Step 3: Cross multiply
    123.11x = 169.91 × 102.35
  4. Step 4: Simplify right side
    123.11x = 17,389.82
  5. Step 5: Solve for x
    x = 17,389.82/123.11
  6. Step 6: Final answer
    x = 141.26

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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.