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Finding the Fourth Proportional to 100,021.50, 150,033.69 and 26,149.50

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Solution

The fourth proportional to 100,021.50, 150,033.69 and 26,149.50 is: 39,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,021.50 : 150,033.69 = 26,149.50 : x
  2. Step 2: Convert to fraction form
    100,021.50/150,033.69 = 26,149.50/x
  3. Step 3: Cross multiply
    100,021.50x = 150,033.69 × 26,149.50
  4. Step 4: Simplify right side
    100,021.50x = 3,923,305,976.66
  5. Step 5: Solve for x
    x = 3,923,305,976.66/100,021.50
  6. Step 6: Final answer
    x = 39,224.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.