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Finding the Fourth Proportional to 36,122.70, 49,847.01 and 20,204.40

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Solution

The fourth proportional to 36,122.70, 49,847.01 and 20,204.40 is: 27,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122.70 : 49,847.01 = 20,204.40 : x
  2. Step 2: Convert to fraction form
    36,122.70/49,847.01 = 20,204.40/x
  3. Step 3: Cross multiply
    36,122.70x = 49,847.01 × 20,204.40
  4. Step 4: Simplify right side
    36,122.70x = 1,007,128,928.84
  5. Step 5: Solve for x
    x = 1,007,128,928.84/36,122.70
  6. Step 6: Final answer
    x = 27,880.78

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1.5x scale

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.