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Finding the Fourth Proportional to 129,785.80, 194,793.90 and 111,123.40

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Solution

The fourth proportional to 129,785.80, 194,793.90 and 111,123.40 is: 166,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,785.80 : 194,793.90 = 111,123.40 : x
  2. Step 2: Convert to fraction form
    129,785.80/194,793.90 = 111,123.40/x
  3. Step 3: Cross multiply
    129,785.80x = 194,793.90 × 111,123.40
  4. Step 4: Simplify right side
    129,785.80x = 21,646,160,467.26
  5. Step 5: Solve for x
    x = 21,646,160,467.26/129,785.80
  6. Step 6: Final answer
    x = 166,783.73

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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.