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Finding the Fourth Proportional to 33,766, 50,520.48 and 20,389.76

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Solution

The fourth proportional to 33,766, 50,520.48 and 20,389.76 is: 30,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,766 : 50,520.48 = 20,389.76 : x
  2. Step 2: Convert to fraction form
    33,766/50,520.48 = 20,389.76/x
  3. Step 3: Cross multiply
    33,766x = 50,520.48 × 20,389.76
  4. Step 4: Simplify right side
    33,766x = 1,030,100,462.28
  5. Step 5: Solve for x
    x = 1,030,100,462.28/33,766
  6. Step 6: Final answer
    x = 30,507.03

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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.