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Finding the Fourth Proportional to 281,797.43, 422,688.72 and 82,172.93

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Solution

The fourth proportional to 281,797.43, 422,688.72 and 82,172.93 is: 123,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,797.43 : 422,688.72 = 82,172.93 : x
  2. Step 2: Convert to fraction form
    281,797.43/422,688.72 = 82,172.93/x
  3. Step 3: Cross multiply
    281,797.43x = 422,688.72 × 82,172.93
  4. Step 4: Simplify right side
    281,797.43x = 34,733,569,132.76
  5. Step 5: Solve for x
    x = 34,733,569,132.76/281,797.43
  6. Step 6: Final answer
    x = 123,257.23

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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.