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Finding the Fourth Proportional to 321,181.80, 481,816.95 and 107,966.27

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Solution

The fourth proportional to 321,181.80, 481,816.95 and 107,966.27 is: 161,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,181.80 : 481,816.95 = 107,966.27 : x
  2. Step 2: Convert to fraction form
    321,181.80/481,816.95 = 107,966.27/x
  3. Step 3: Cross multiply
    321,181.80x = 481,816.95 × 107,966.27
  4. Step 4: Simplify right side
    321,181.80x = 52,019,980,624.91
  5. Step 5: Solve for x
    x = 52,019,980,624.91/321,181.80
  6. Step 6: Final answer
    x = 161,964.28

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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.