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Finding the Fourth Proportional to 203,660.82, 281,044.50 and 113,020.74

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Solution

The fourth proportional to 203,660.82, 281,044.50 and 113,020.74 is: 155,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,660.82 : 281,044.50 = 113,020.74 : x
  2. Step 2: Convert to fraction form
    203,660.82/281,044.50 = 113,020.74/x
  3. Step 3: Cross multiply
    203,660.82x = 281,044.50 × 113,020.74
  4. Step 4: Simplify right side
    203,660.82x = 31,763,857,362.93
  5. Step 5: Solve for x
    x = 31,763,857,362.93/203,660.82
  6. Step 6: Final answer
    x = 155,964.50

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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.