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Finding the Fourth Proportional to 279,517.90, 419,147.79 and 89,942.98

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Solution

The fourth proportional to 279,517.90, 419,147.79 and 89,942.98 is: 134,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,517.90 : 419,147.79 = 89,942.98 : x
  2. Step 2: Convert to fraction form
    279,517.90/419,147.79 = 89,942.98/x
  3. Step 3: Cross multiply
    279,517.90x = 419,147.79 × 89,942.98
  4. Step 4: Simplify right side
    279,517.90x = 37,699,401,293.01
  5. Step 5: Solve for x
    x = 37,699,401,293.01/279,517.90
  6. Step 6: Final answer
    x = 134,872.94

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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.