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Finding the Fourth Proportional to 281,871.63, 422,762.42 and 82,145.27

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Solution

The fourth proportional to 281,871.63, 422,762.42 and 82,145.27 is: 123,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,871.63 : 422,762.42 = 82,145.27 : x
  2. Step 2: Convert to fraction form
    281,871.63/422,762.42 = 82,145.27/x
  3. Step 3: Cross multiply
    281,871.63x = 422,762.42 × 82,145.27
  4. Step 4: Simplify right side
    281,871.63x = 34,727,934,399.02
  5. Step 5: Solve for x
    x = 34,727,934,399.02/281,871.63
  6. Step 6: Final answer
    x = 123,204.79

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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.