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Finding the Fourth Proportional to 66,017, 91,103.46 and 36,209

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Solution

The fourth proportional to 66,017, 91,103.46 and 36,209 is: 49,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,017 : 91,103.46 = 36,209 : x
  2. Step 2: Convert to fraction form
    66,017/91,103.46 = 36,209/x
  3. Step 3: Cross multiply
    66,017x = 91,103.46 × 36,209
  4. Step 4: Simplify right side
    66,017x = 3,298,765,183.14
  5. Step 5: Solve for x
    x = 3,298,765,183.14/66,017
  6. Step 6: Final answer
    x = 49,968.42

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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.