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Finding the Fourth Proportional to 189,906.61, 284,772.09 and 69,933.27

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Solution

The fourth proportional to 189,906.61, 284,772.09 and 69,933.27 is: 104,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,906.61 : 284,772.09 = 69,933.27 : x
  2. Step 2: Convert to fraction form
    189,906.61/284,772.09 = 69,933.27/x
  3. Step 3: Cross multiply
    189,906.61x = 284,772.09 × 69,933.27
  4. Step 4: Simplify right side
    189,906.61x = 19,915,042,034.57
  5. Step 5: Solve for x
    x = 19,915,042,034.57/189,906.61
  6. Step 6: Final answer
    x = 104,867.56

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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.