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Finding the Fourth Proportional to 222,539, 333,861 and 72,778.70

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Solution

The fourth proportional to 222,539, 333,861 and 72,778.70 is: 109,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,539 : 333,861 = 72,778.70 : x
  2. Step 2: Convert to fraction form
    222,539/333,861 = 72,778.70/x
  3. Step 3: Cross multiply
    222,539x = 333,861 × 72,778.70
  4. Step 4: Simplify right side
    222,539x = 24,297,969,560.70
  5. Step 5: Solve for x
    x = 24,297,969,560.70/222,539
  6. Step 6: Final answer
    x = 109,185.22

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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.