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Finding the Fourth Proportional to 36,105.87, 49,830.74 and 20,191.21

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Solution

The fourth proportional to 36,105.87, 49,830.74 and 20,191.21 is: 27,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105.87 : 49,830.74 = 20,191.21 : x
  2. Step 2: Convert to fraction form
    36,105.87/49,830.74 = 20,191.21/x
  3. Step 3: Cross multiply
    36,105.87x = 49,830.74 × 20,191.21
  4. Step 4: Simplify right side
    36,105.87x = 1,006,142,935.80
  5. Step 5: Solve for x
    x = 1,006,142,935.80/36,105.87
  6. Step 6: Final answer
    x = 27,866.46

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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.