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Finding the Fourth Proportional to 198,755.78, 274,331.69 and 112,765.10

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Solution

The fourth proportional to 198,755.78, 274,331.69 and 112,765.10 is: 155,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,755.78 : 274,331.69 = 112,765.10 : x
  2. Step 2: Convert to fraction form
    198,755.78/274,331.69 = 112,765.10/x
  3. Step 3: Cross multiply
    198,755.78x = 274,331.69 × 112,765.10
  4. Step 4: Simplify right side
    198,755.78x = 30,935,038,520.54
  5. Step 5: Solve for x
    x = 30,935,038,520.54/198,755.78
  6. Step 6: Final answer
    x = 155,643.47

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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.