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Finding the Fourth Proportional to 69,469, 104,220.78 and 20,221

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Solution

The fourth proportional to 69,469, 104,220.78 and 20,221 is: 30,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,469 : 104,220.78 = 20,221 : x
  2. Step 2: Convert to fraction form
    69,469/104,220.78 = 20,221/x
  3. Step 3: Cross multiply
    69,469x = 104,220.78 × 20,221
  4. Step 4: Simplify right side
    69,469x = 2,107,448,392.38
  5. Step 5: Solve for x
    x = 2,107,448,392.38/69,469
  6. Step 6: Final answer
    x = 30,336.53

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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.