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Finding the Fourth Proportional to 120,989.40, 166,964.81 and 67,271.21

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Solution

The fourth proportional to 120,989.40, 166,964.81 and 67,271.21 is: 92,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,989.40 : 166,964.81 = 67,271.21 : x
  2. Step 2: Convert to fraction form
    120,989.40/166,964.81 = 67,271.21/x
  3. Step 3: Cross multiply
    120,989.40x = 166,964.81 × 67,271.21
  4. Step 4: Simplify right side
    120,989.40x = 11,231,923,624.94
  5. Step 5: Solve for x
    x = 11,231,923,624.94/120,989.40
  6. Step 6: Final answer
    x = 92,833.95

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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.