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Finding the Fourth Proportional to 134.85, 185.75 and 103.72

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Solution

The fourth proportional to 134.85, 185.75 and 103.72 is: 142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.85 : 185.75 = 103.72 : x
  2. Step 2: Convert to fraction form
    134.85/185.75 = 103.72/x
  3. Step 3: Cross multiply
    134.85x = 185.75 × 103.72
  4. Step 4: Simplify right side
    134.85x = 19,265.99
  5. Step 5: Solve for x
    x = 19,265.99/134.85
  6. Step 6: Final answer
    x = 142.87

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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.