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Finding the Fourth Proportional to 200,772.50, 301,142.34 and 67,649.81

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Solution

The fourth proportional to 200,772.50, 301,142.34 and 67,649.81 is: 101,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,772.50 : 301,142.34 = 67,649.81 : x
  2. Step 2: Convert to fraction form
    200,772.50/301,142.34 = 67,649.81/x
  3. Step 3: Cross multiply
    200,772.50x = 301,142.34 × 67,649.81
  4. Step 4: Simplify right side
    200,772.50x = 20,372,220,578.24
  5. Step 5: Solve for x
    x = 20,372,220,578.24/200,772.50
  6. Step 6: Final answer
    x = 101,469.18

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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.