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Finding the Fourth Proportional to 198,798.32, 274,347.96 and 113,942

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Solution

The fourth proportional to 198,798.32, 274,347.96 and 113,942 is: 157,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,798.32 : 274,347.96 = 113,942 : x
  2. Step 2: Convert to fraction form
    198,798.32/274,347.96 = 113,942/x
  3. Step 3: Cross multiply
    198,798.32x = 274,347.96 × 113,942
  4. Step 4: Simplify right side
    198,798.32x = 31,259,755,258.32
  5. Step 5: Solve for x
    x = 31,259,755,258.32/198,798.32
  6. Step 6: Final answer
    x = 157,243.56

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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.