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Finding the Fourth Proportional to 66,022, 91,114.68 and 36,214

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Solution

The fourth proportional to 66,022, 91,114.68 and 36,214 is: 49,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,022 : 91,114.68 = 36,214 : x
  2. Step 2: Convert to fraction form
    66,022/91,114.68 = 36,214/x
  3. Step 3: Cross multiply
    66,022x = 91,114.68 × 36,214
  4. Step 4: Simplify right side
    66,022x = 3,299,627,021.52
  5. Step 5: Solve for x
    x = 3,299,627,021.52/66,022
  6. Step 6: Final answer
    x = 49,977.69

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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.