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Finding the Fourth Proportional to 33,465.78, 50,205.42 and 13,743.90

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Solution

The fourth proportional to 33,465.78, 50,205.42 and 13,743.90 is: 20,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465.78 : 50,205.42 = 13,743.90 : x
  2. Step 2: Convert to fraction form
    33,465.78/50,205.42 = 13,743.90/x
  3. Step 3: Cross multiply
    33,465.78x = 50,205.42 × 13,743.90
  4. Step 4: Simplify right side
    33,465.78x = 690,018,271.94
  5. Step 5: Solve for x
    x = 690,018,271.94/33,465.78
  6. Step 6: Final answer
    x = 20,618.62

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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.