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Finding the Fourth Proportional to 213,983.97, 321,029.25 and 64,227.03

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Solution

The fourth proportional to 213,983.97, 321,029.25 and 64,227.03 is: 96,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,983.97 : 321,029.25 = 64,227.03 : x
  2. Step 2: Convert to fraction form
    213,983.97/321,029.25 = 64,227.03/x
  3. Step 3: Cross multiply
    213,983.97x = 321,029.25 × 64,227.03
  4. Step 4: Simplify right side
    213,983.97x = 20,618,755,270.63
  5. Step 5: Solve for x
    x = 20,618,755,270.63/213,983.97
  6. Step 6: Final answer
    x = 96,356.54

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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.