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Finding the Fourth Proportional to 106.87, 146.42 and 103.90

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Solution

The fourth proportional to 106.87, 146.42 and 103.90 is: 142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.87 : 146.42 = 103.90 : x
  2. Step 2: Convert to fraction form
    106.87/146.42 = 103.90/x
  3. Step 3: Cross multiply
    106.87x = 146.42 × 103.90
  4. Step 4: Simplify right side
    106.87x = 15,213.04
  5. Step 5: Solve for x
    x = 15,213.04/106.87
  6. Step 6: Final answer
    x = 142.35

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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.