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Finding the Fourth Proportional to 281,871.95, 422,762.90 and 82,145.61

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Solution

The fourth proportional to 281,871.95, 422,762.90 and 82,145.61 is: 123,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,871.95 : 422,762.90 = 82,145.61 : x
  2. Step 2: Convert to fraction form
    281,871.95/422,762.90 = 82,145.61/x
  3. Step 3: Cross multiply
    281,871.95x = 422,762.90 × 82,145.61
  4. Step 4: Simplify right side
    281,871.95x = 34,728,115,895.14
  5. Step 5: Solve for x
    x = 34,728,115,895.14/281,871.95
  6. Step 6: Final answer
    x = 123,205.29

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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.