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Finding the Fourth Proportional to 66,164.28, 91,306 and 37,481.80

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Solution

The fourth proportional to 66,164.28, 91,306 and 37,481.80 is: 51,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,164.28 : 91,306 = 37,481.80 : x
  2. Step 2: Convert to fraction form
    66,164.28/91,306 = 37,481.80/x
  3. Step 3: Cross multiply
    66,164.28x = 91,306 × 37,481.80
  4. Step 4: Simplify right side
    66,164.28x = 3,422,313,230.80
  5. Step 5: Solve for x
    x = 3,422,313,230.80/66,164.28
  6. Step 6: Final answer
    x = 51,724.48

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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.