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Finding the Fourth Proportional to 36,909.76, 50,936 and 20,142.40

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Solution

The fourth proportional to 36,909.76, 50,936 and 20,142.40 is: 27,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909.76 : 50,936 = 20,142.40 : x
  2. Step 2: Convert to fraction form
    36,909.76/50,936 = 20,142.40/x
  3. Step 3: Cross multiply
    36,909.76x = 50,936 × 20,142.40
  4. Step 4: Simplify right side
    36,909.76x = 1,025,973,286.40
  5. Step 5: Solve for x
    x = 1,025,973,286.40/36,909.76
  6. Step 6: Final answer
    x = 27,796.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.