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Finding the Fourth Proportional to 198,477, 273,896.78 and 107,833.71

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Solution

The fourth proportional to 198,477, 273,896.78 and 107,833.71 is: 148,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,477 : 273,896.78 = 107,833.71 : x
  2. Step 2: Convert to fraction form
    198,477/273,896.78 = 107,833.71/x
  3. Step 3: Cross multiply
    198,477x = 273,896.78 × 107,833.71
  4. Step 4: Simplify right side
    198,477x = 29,535,305,405.29
  5. Step 5: Solve for x
    x = 29,535,305,405.29/198,477
  6. Step 6: Final answer
    x = 148,809.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.