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Finding the Fourth Proportional to 109,662.70, 164,481.90 and 89,906.80

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Solution

The fourth proportional to 109,662.70, 164,481.90 and 89,906.80 is: 134,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662.70 : 164,481.90 = 89,906.80 : x
  2. Step 2: Convert to fraction form
    109,662.70/164,481.90 = 89,906.80/x
  3. Step 3: Cross multiply
    109,662.70x = 164,481.90 × 89,906.80
  4. Step 4: Simplify right side
    109,662.70x = 14,788,041,286.92
  5. Step 5: Solve for x
    x = 14,788,041,286.92/109,662.70
  6. Step 6: Final answer
    x = 134,850.24

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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.