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Finding the Fourth Proportional to 321,138.73, 481,591.77 and 107,842.83

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Solution

The fourth proportional to 321,138.73, 481,591.77 and 107,842.83 is: 161,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,138.73 : 481,591.77 = 107,842.83 : x
  2. Step 2: Convert to fraction form
    321,138.73/481,591.77 = 107,842.83/x
  3. Step 3: Cross multiply
    321,138.73x = 481,591.77 × 107,842.83
  4. Step 4: Simplify right side
    321,138.73x = 51,936,219,381.51
  5. Step 5: Solve for x
    x = 51,936,219,381.51/321,138.73
  6. Step 6: Final answer
    x = 161,725.18

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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.