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Finding the Fourth Proportional to 281,758.37, 422,638.36 and 82,083.65

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Solution

The fourth proportional to 281,758.37, 422,638.36 and 82,083.65 is: 123,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,758.37 : 422,638.36 = 82,083.65 : x
  2. Step 2: Convert to fraction form
    281,758.37/422,638.36 = 82,083.65/x
  3. Step 3: Cross multiply
    281,758.37x = 422,638.36 × 82,083.65
  4. Step 4: Simplify right side
    281,758.37x = 34,691,696,900.41
  5. Step 5: Solve for x
    x = 34,691,696,900.41/281,758.37
  6. Step 6: Final answer
    x = 123,125.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.