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Finding the Fourth Proportional to 198,796.32, 274,345.20 and 113,940

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Solution

The fourth proportional to 198,796.32, 274,345.20 and 113,940 is: 157,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,796.32 : 274,345.20 = 113,940 : x
  2. Step 2: Convert to fraction form
    198,796.32/274,345.20 = 113,940/x
  3. Step 3: Cross multiply
    198,796.32x = 274,345.20 × 113,940
  4. Step 4: Simplify right side
    198,796.32x = 31,258,892,088
  5. Step 5: Solve for x
    x = 31,258,892,088/198,796.32
  6. Step 6: Final answer
    x = 157,240.80

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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.