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Finding the Fourth Proportional to 33,963.80, 50,984.10 and 20,120.60

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Solution

The fourth proportional to 33,963.80, 50,984.10 and 20,120.60 is: 30,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963.80 : 50,984.10 = 20,120.60 : x
  2. Step 2: Convert to fraction form
    33,963.80/50,984.10 = 20,120.60/x
  3. Step 3: Cross multiply
    33,963.80x = 50,984.10 × 20,120.60
  4. Step 4: Simplify right side
    33,963.80x = 1,025,830,682.46
  5. Step 5: Solve for x
    x = 1,025,830,682.46/33,963.80
  6. Step 6: Final answer
    x = 30,203.65

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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.