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Finding the Fourth Proportional to 200,643.48, 300,996.37 and 67,513.37

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Solution

The fourth proportional to 200,643.48, 300,996.37 and 67,513.37 is: 101,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,643.48 : 300,996.37 = 67,513.37 : x
  2. Step 2: Convert to fraction form
    200,643.48/300,996.37 = 67,513.37/x
  3. Step 3: Cross multiply
    200,643.48x = 300,996.37 × 67,513.37
  4. Step 4: Simplify right side
    200,643.48x = 20,321,277,622.70
  5. Step 5: Solve for x
    x = 20,321,277,622.70/200,643.48
  6. Step 6: Final answer
    x = 101,280.53

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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.