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Finding the Fourth Proportional to 198,871.78, 274,449.28 and 112,834.38

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Solution

The fourth proportional to 198,871.78, 274,449.28 and 112,834.38 is: 155,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,871.78 : 274,449.28 = 112,834.38 : x
  2. Step 2: Convert to fraction form
    198,871.78/274,449.28 = 112,834.38/x
  3. Step 3: Cross multiply
    198,871.78x = 274,449.28 × 112,834.38
  4. Step 4: Simplify right side
    198,871.78x = 30,967,314,472.20
  5. Step 5: Solve for x
    x = 30,967,314,472.20/198,871.78
  6. Step 6: Final answer
    x = 155,714.98

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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.