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Finding the Fourth Proportional to 281,507.46, 422,263.92 and 71,145.42

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Solution

The fourth proportional to 281,507.46, 422,263.92 and 71,145.42 is: 106,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,507.46 : 422,263.92 = 71,145.42 : x
  2. Step 2: Convert to fraction form
    281,507.46/422,263.92 = 71,145.42/x
  3. Step 3: Cross multiply
    281,507.46x = 422,263.92 × 71,145.42
  4. Step 4: Simplify right side
    281,507.46x = 30,042,143,939.25
  5. Step 5: Solve for x
    x = 30,042,143,939.25/281,507.46
  6. Step 6: Final answer
    x = 106,718.82

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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.