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Finding the Fourth Proportional to 36,169.20, 49,911.12 and 20,250

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Solution

The fourth proportional to 36,169.20, 49,911.12 and 20,250 is: 27,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169.20 : 49,911.12 = 20,250 : x
  2. Step 2: Convert to fraction form
    36,169.20/49,911.12 = 20,250/x
  3. Step 3: Cross multiply
    36,169.20x = 49,911.12 × 20,250
  4. Step 4: Simplify right side
    36,169.20x = 1,010,700,180
  5. Step 5: Solve for x
    x = 1,010,700,180/36,169.20
  6. Step 6: Final answer
    x = 27,943.67

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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.