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Finding the Fourth Proportional to 205,717, 283,775.14 and 119,666.30

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Solution

The fourth proportional to 205,717, 283,775.14 and 119,666.30 is: 165,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,717 : 283,775.14 = 119,666.30 : x
  2. Step 2: Convert to fraction form
    205,717/283,775.14 = 119,666.30/x
  3. Step 3: Cross multiply
    205,717x = 283,775.14 × 119,666.30
  4. Step 4: Simplify right side
    205,717x = 33,958,321,035.78
  5. Step 5: Solve for x
    x = 33,958,321,035.78/205,717
  6. Step 6: Final answer
    x = 165,072.99

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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.