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Finding the Fourth Proportional to 66,105, 91,224.90 and 36,297

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Solution

The fourth proportional to 66,105, 91,224.90 and 36,297 is: 50,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105 : 91,224.90 = 36,297 : x
  2. Step 2: Convert to fraction form
    66,105/91,224.90 = 36,297/x
  3. Step 3: Cross multiply
    66,105x = 91,224.90 × 36,297
  4. Step 4: Simplify right side
    66,105x = 3,311,190,195.30
  5. Step 5: Solve for x
    x = 3,311,190,195.30/66,105
  6. Step 6: Final answer
    x = 50,089.86

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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.