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Finding the Fourth Proportional to 33,765, 50,519 and 20,388.76

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Solution

The fourth proportional to 33,765, 50,519 and 20,388.76 is: 30,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,765 : 50,519 = 20,388.76 : x
  2. Step 2: Convert to fraction form
    33,765/50,519 = 20,388.76/x
  3. Step 3: Cross multiply
    33,765x = 50,519 × 20,388.76
  4. Step 4: Simplify right side
    33,765x = 1,030,019,766.44
  5. Step 5: Solve for x
    x = 1,030,019,766.44/33,765
  6. Step 6: Final answer
    x = 30,505.55

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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.