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Finding the Fourth Proportional to 200,805.75, 301,209.66 and 67,687.16

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Solution

The fourth proportional to 200,805.75, 301,209.66 and 67,687.16 is: 101,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,805.75 : 301,209.66 = 67,687.16 : x
  2. Step 2: Convert to fraction form
    200,805.75/301,209.66 = 67,687.16/x
  3. Step 3: Cross multiply
    200,805.75x = 301,209.66 × 67,687.16
  4. Step 4: Simplify right side
    200,805.75x = 20,388,024,943.92
  5. Step 5: Solve for x
    x = 20,388,024,943.92/200,805.75
  6. Step 6: Final answer
    x = 101,531.08

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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.