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Finding the Fourth Proportional to 91,891.20, 137,763.90 and 50,338.20

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Solution

The fourth proportional to 91,891.20, 137,763.90 and 50,338.20 is: 75,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,891.20 : 137,763.90 = 50,338.20 : x
  2. Step 2: Convert to fraction form
    91,891.20/137,763.90 = 50,338.20/x
  3. Step 3: Cross multiply
    91,891.20x = 137,763.90 × 50,338.20
  4. Step 4: Simplify right side
    91,891.20x = 6,934,786,750.98
  5. Step 5: Solve for x
    x = 6,934,786,750.98/91,891.20
  6. Step 6: Final answer
    x = 75,467.37

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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.