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Finding the Fourth Proportional to 281,494.65, 422,269.70 and 81,816.78

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Solution

The fourth proportional to 281,494.65, 422,269.70 and 81,816.78 is: 122,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,494.65 : 422,269.70 = 81,816.78 : x
  2. Step 2: Convert to fraction form
    281,494.65/422,269.70 = 81,816.78/x
  3. Step 3: Cross multiply
    281,494.65x = 422,269.70 × 81,816.78
  4. Step 4: Simplify right side
    281,494.65x = 34,548,747,145.57
  5. Step 5: Solve for x
    x = 34,548,747,145.57/281,494.65
  6. Step 6: Final answer
    x = 122,733.23

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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.