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Finding the Fourth Proportional to 120,367.81, 166,106.41 and 69,361.80

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Solution

The fourth proportional to 120,367.81, 166,106.41 and 69,361.80 is: 95,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,367.81 : 166,106.41 = 69,361.80 : x
  2. Step 2: Convert to fraction form
    120,367.81/166,106.41 = 69,361.80/x
  3. Step 3: Cross multiply
    120,367.81x = 166,106.41 × 69,361.80
  4. Step 4: Simplify right side
    120,367.81x = 11,521,439,589.14
  5. Step 5: Solve for x
    x = 11,521,439,589.14/120,367.81
  6. Step 6: Final answer
    x = 95,718.61

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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.