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Finding the Fourth Proportional to 281,873, 422,834.09 and 71,510.94

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Solution

The fourth proportional to 281,873, 422,834.09 and 71,510.94 is: 107,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,873 : 422,834.09 = 71,510.94 : x
  2. Step 2: Convert to fraction form
    281,873/422,834.09 = 71,510.94/x
  3. Step 3: Cross multiply
    281,873x = 422,834.09 × 71,510.94
  4. Step 4: Simplify right side
    281,873x = 30,237,263,239.94
  5. Step 5: Solve for x
    x = 30,237,263,239.94/281,873
  6. Step 6: Final answer
    x = 107,272.65

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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.