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Finding the Fourth Proportional to 100,794.20, 151,191.30 and 34,251.80

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Solution

The fourth proportional to 100,794.20, 151,191.30 and 34,251.80 is: 51,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,794.20 : 151,191.30 = 34,251.80 : x
  2. Step 2: Convert to fraction form
    100,794.20/151,191.30 = 34,251.80/x
  3. Step 3: Cross multiply
    100,794.20x = 151,191.30 × 34,251.80
  4. Step 4: Simplify right side
    100,794.20x = 5,178,574,169.34
  5. Step 5: Solve for x
    x = 5,178,574,169.34/100,794.20
  6. Step 6: Final answer
    x = 51,377.70

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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.