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Finding the Fourth Proportional to 281,897.01, 422,804.43 and 82,163.75

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Solution

The fourth proportional to 281,897.01, 422,804.43 and 82,163.75 is: 123,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,897.01 : 422,804.43 = 82,163.75 : x
  2. Step 2: Convert to fraction form
    281,897.01/422,804.43 = 82,163.75/x
  3. Step 3: Cross multiply
    281,897.01x = 422,804.43 × 82,163.75
  4. Step 4: Simplify right side
    281,897.01x = 34,739,195,371.39
  5. Step 5: Solve for x
    x = 34,739,195,371.39/281,897.01
  6. Step 6: Final answer
    x = 123,233.64

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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.