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Finding the Fourth Proportional to 198,581.82, 274,044.75 and 107,938

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Solution

The fourth proportional to 198,581.82, 274,044.75 and 107,938 is: 148,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,581.82 : 274,044.75 = 107,938 : x
  2. Step 2: Convert to fraction form
    198,581.82/274,044.75 = 107,938/x
  3. Step 3: Cross multiply
    198,581.82x = 274,044.75 × 107,938
  4. Step 4: Simplify right side
    198,581.82x = 29,579,842,225.50
  5. Step 5: Solve for x
    x = 29,579,842,225.50/198,581.82
  6. Step 6: Final answer
    x = 148,955.44

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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.