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Finding the Fourth Proportional to 136,372.68, 204,578.46 and 66,204

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Solution

The fourth proportional to 136,372.68, 204,578.46 and 66,204 is: 99,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,372.68 : 204,578.46 = 66,204 : x
  2. Step 2: Convert to fraction form
    136,372.68/204,578.46 = 66,204/x
  3. Step 3: Cross multiply
    136,372.68x = 204,578.46 × 66,204
  4. Step 4: Simplify right side
    136,372.68x = 13,543,912,365.84
  5. Step 5: Solve for x
    x = 13,543,912,365.84/136,372.68
  6. Step 6: Final answer
    x = 99,315.44

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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.