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Finding the Fourth Proportional to 198,580.82, 274,043.37 and 107,937

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Solution

The fourth proportional to 198,580.82, 274,043.37 and 107,937 is: 148,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,580.82 : 274,043.37 = 107,937 : x
  2. Step 2: Convert to fraction form
    198,580.82/274,043.37 = 107,937/x
  3. Step 3: Cross multiply
    198,580.82x = 274,043.37 × 107,937
  4. Step 4: Simplify right side
    198,580.82x = 29,579,419,227.69
  5. Step 5: Solve for x
    x = 29,579,419,227.69/198,580.82
  6. Step 6: Final answer
    x = 148,954.06

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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.