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Finding the Fourth Proportional to 105.09, 146.19 and 103.11

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Solution

The fourth proportional to 105.09, 146.19 and 103.11 is: 143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 146.19 = 103.11 : x
  2. Step 2: Convert to fraction form
    105.09/146.19 = 103.11/x
  3. Step 3: Cross multiply
    105.09x = 146.19 × 103.11
  4. Step 4: Simplify right side
    105.09x = 15,073.65
  5. Step 5: Solve for x
    x = 15,073.65/105.09
  6. Step 6: Final answer
    x = 143.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.