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Finding the Fourth Proportional to 220,769, 331,202.86 and 80,527.62

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Solution

The fourth proportional to 220,769, 331,202.86 and 80,527.62 is: 120,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,769 : 331,202.86 = 80,527.62 : x
  2. Step 2: Convert to fraction form
    220,769/331,202.86 = 80,527.62/x
  3. Step 3: Cross multiply
    220,769x = 331,202.86 × 80,527.62
  4. Step 4: Simplify right side
    220,769x = 26,670,978,052.99
  5. Step 5: Solve for x
    x = 26,670,978,052.99/220,769
  6. Step 6: Final answer
    x = 120,809.43

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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.