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Finding the Fourth Proportional to 107.87, 149.62 and 103.55

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Solution

The fourth proportional to 107.87, 149.62 and 103.55 is: 143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 149.62 = 103.55 : x
  2. Step 2: Convert to fraction form
    107.87/149.62 = 103.55/x
  3. Step 3: Cross multiply
    107.87x = 149.62 × 103.55
  4. Step 4: Simplify right side
    107.87x = 15,493.15
  5. Step 5: Solve for x
    x = 15,493.15/107.87
  6. Step 6: Final answer
    x = 143.63

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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.