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Finding the Fourth Proportional to 199,809.20, 299,706.89 and 50,050.78

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Solution

The fourth proportional to 199,809.20, 299,706.89 and 50,050.78 is: 75,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,809.20 : 299,706.89 = 50,050.78 : x
  2. Step 2: Convert to fraction form
    199,809.20/299,706.89 = 50,050.78/x
  3. Step 3: Cross multiply
    199,809.20x = 299,706.89 × 50,050.78
  4. Step 4: Simplify right side
    199,809.20x = 15,000,562,616.35
  5. Step 5: Solve for x
    x = 15,000,562,616.35/199,809.20
  6. Step 6: Final answer
    x = 75,074.44

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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.