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Finding the Fourth Proportional to 263,154, 363,161.16 and 143,922

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Solution

The fourth proportional to 263,154, 363,161.16 and 143,922 is: 198,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,154 : 363,161.16 = 143,922 : x
  2. Step 2: Convert to fraction form
    263,154/363,161.16 = 143,922/x
  3. Step 3: Cross multiply
    263,154x = 363,161.16 × 143,922
  4. Step 4: Simplify right side
    263,154x = 52,266,880,469.52
  5. Step 5: Solve for x
    x = 52,266,880,469.52/263,154
  6. Step 6: Final answer
    x = 198,617.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.