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Finding the Fourth Proportional to 120,717, 166,589.46 and 67,010.69

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Solution

The fourth proportional to 120,717, 166,589.46 and 67,010.69 is: 92,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717 : 166,589.46 = 67,010.69 : x
  2. Step 2: Convert to fraction form
    120,717/166,589.46 = 67,010.69/x
  3. Step 3: Cross multiply
    120,717x = 166,589.46 × 67,010.69
  4. Step 4: Simplify right side
    120,717x = 11,163,275,077.80
  5. Step 5: Solve for x
    x = 11,163,275,077.80/120,717
  6. Step 6: Final answer
    x = 92,474.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.