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Finding the Fourth Proportional to 129,644.80, 194,236.80 and 111,212.80

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Solution

The fourth proportional to 129,644.80, 194,236.80 and 111,212.80 is: 166,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,644.80 : 194,236.80 = 111,212.80 : x
  2. Step 2: Convert to fraction form
    129,644.80/194,236.80 = 111,212.80/x
  3. Step 3: Cross multiply
    129,644.80x = 194,236.80 × 111,212.80
  4. Step 4: Simplify right side
    129,644.80x = 21,601,618,391.04
  5. Step 5: Solve for x
    x = 21,601,618,391.04/129,644.80
  6. Step 6: Final answer
    x = 166,621.56

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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.