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Finding the Fourth Proportional to 120,855.25, 166,784.94 and 82,694.80

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Solution

The fourth proportional to 120,855.25, 166,784.94 and 82,694.80 is: 114,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855.25 : 166,784.94 = 82,694.80 : x
  2. Step 2: Convert to fraction form
    120,855.25/166,784.94 = 82,694.80/x
  3. Step 3: Cross multiply
    120,855.25x = 166,784.94 × 82,694.80
  4. Step 4: Simplify right side
    120,855.25x = 13,792,247,256.31
  5. Step 5: Solve for x
    x = 13,792,247,256.31/120,855.25
  6. Step 6: Final answer
    x = 114,122.04

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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.