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Finding the Fourth Proportional to 66,500, 91,770 and 36,692

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Solution

The fourth proportional to 66,500, 91,770 and 36,692 is: 50,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,500 : 91,770 = 36,692 : x
  2. Step 2: Convert to fraction form
    66,500/91,770 = 36,692/x
  3. Step 3: Cross multiply
    66,500x = 91,770 × 36,692
  4. Step 4: Simplify right side
    66,500x = 3,367,224,840
  5. Step 5: Solve for x
    x = 3,367,224,840/66,500
  6. Step 6: Final answer
    x = 50,634.96

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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.