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Finding the Fourth Proportional to 321,098.90, 481,649.49 and 107,860.73

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Solution

The fourth proportional to 321,098.90, 481,649.49 and 107,860.73 is: 161,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,098.90 : 481,649.49 = 107,860.73 : x
  2. Step 2: Convert to fraction form
    321,098.90/481,649.49 = 107,860.73/x
  3. Step 3: Cross multiply
    321,098.90x = 481,649.49 × 107,860.73
  4. Step 4: Simplify right side
    321,098.90x = 51,951,063,187.28
  5. Step 5: Solve for x
    x = 51,951,063,187.28/321,098.90
  6. Step 6: Final answer
    x = 161,791.47

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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.