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Finding the Fourth Proportional to 203,871.50, 281,342.40 and 113,241

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Solution

The fourth proportional to 203,871.50, 281,342.40 and 113,241 is: 156,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,871.50 : 281,342.40 = 113,241 : x
  2. Step 2: Convert to fraction form
    203,871.50/281,342.40 = 113,241/x
  3. Step 3: Cross multiply
    203,871.50x = 281,342.40 × 113,241
  4. Step 4: Simplify right side
    203,871.50x = 31,859,494,718.40
  5. Step 5: Solve for x
    x = 31,859,494,718.40/203,871.50
  6. Step 6: Final answer
    x = 156,272.43

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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.