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Finding the Fourth Proportional to 71.90, 107.81 and 33.37

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Solution

The fourth proportional to 71.90, 107.81 and 33.37 is: 50.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.90 : 107.81 = 33.37 : x
  2. Step 2: Convert to fraction form
    71.90/107.81 = 33.37/x
  3. Step 3: Cross multiply
    71.90x = 107.81 × 33.37
  4. Step 4: Simplify right side
    71.90x = 3,597.62
  5. Step 5: Solve for x
    x = 3,597.62/71.90
  6. Step 6: Final answer
    x = 50.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.