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Finding the Fourth Proportional to 66,208, 91,367.04 and 36,400

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Solution

The fourth proportional to 66,208, 91,367.04 and 36,400 is: 50,232

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,208 : 91,367.04 = 36,400 : x
  2. Step 2: Convert to fraction form
    66,208/91,367.04 = 36,400/x
  3. Step 3: Cross multiply
    66,208x = 91,367.04 × 36,400
  4. Step 4: Simplify right side
    66,208x = 3,325,760,256
  5. Step 5: Solve for x
    x = 3,325,760,256/66,208
  6. Step 6: Final answer
    x = 50,232

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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.