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Finding the Fourth Proportional to 33,394.56, 50,142.56 and 20,991.84

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Solution

The fourth proportional to 33,394.56, 50,142.56 and 20,991.84 is: 31,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,394.56 : 50,142.56 = 20,991.84 : x
  2. Step 2: Convert to fraction form
    33,394.56/50,142.56 = 20,991.84/x
  3. Step 3: Cross multiply
    33,394.56x = 50,142.56 × 20,991.84
  4. Step 4: Simplify right side
    33,394.56x = 1,052,584,596.71
  5. Step 5: Solve for x
    x = 1,052,584,596.71/33,394.56
  6. Step 6: Final answer
    x = 31,519.64

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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.