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Finding the Fourth Proportional to 281,552.46, 422,369.87 and 81,846.90

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Solution

The fourth proportional to 281,552.46, 422,369.87 and 81,846.90 is: 122,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,552.46 : 422,369.87 = 81,846.90 : x
  2. Step 2: Convert to fraction form
    281,552.46/422,369.87 = 81,846.90/x
  3. Step 3: Cross multiply
    281,552.46x = 422,369.87 × 81,846.90
  4. Step 4: Simplify right side
    281,552.46x = 34,569,664,103.67
  5. Step 5: Solve for x
    x = 34,569,664,103.67/281,552.46
  6. Step 6: Final answer
    x = 122,782.32

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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.