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Finding the Fourth Proportional to 36,126, 49,854.88 and 20,213.20

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Solution

The fourth proportional to 36,126, 49,854.88 and 20,213.20 is: 27,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,126 : 49,854.88 = 20,213.20 : x
  2. Step 2: Convert to fraction form
    36,126/49,854.88 = 20,213.20/x
  3. Step 3: Cross multiply
    36,126x = 49,854.88 × 20,213.20
  4. Step 4: Simplify right side
    36,126x = 1,007,726,660.42
  5. Step 5: Solve for x
    x = 1,007,726,660.42/36,126
  6. Step 6: Final answer
    x = 27,894.78

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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.