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Finding the Fourth Proportional to 203,708.27, 281,111.72 and 111,827.54

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Solution

The fourth proportional to 203,708.27, 281,111.72 and 111,827.54 is: 154,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,708.27 : 281,111.72 = 111,827.54 : x
  2. Step 2: Convert to fraction form
    203,708.27/281,111.72 = 111,827.54/x
  3. Step 3: Cross multiply
    203,708.27x = 281,111.72 × 111,827.54
  4. Step 4: Simplify right side
    203,708.27x = 31,436,030,675.16
  5. Step 5: Solve for x
    x = 31,436,030,675.16/203,708.27
  6. Step 6: Final answer
    x = 154,318.88

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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.