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Finding the Fourth Proportional to 66,164.84, 91,309.22 and 37,879.64

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Solution

The fourth proportional to 66,164.84, 91,309.22 and 37,879.64 is: 52,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,164.84 : 91,309.22 = 37,879.64 : x
  2. Step 2: Convert to fraction form
    66,164.84/91,309.22 = 37,879.64/x
  3. Step 3: Cross multiply
    66,164.84x = 91,309.22 × 37,879.64
  4. Step 4: Simplify right side
    66,164.84x = 3,458,760,382.28
  5. Step 5: Solve for x
    x = 3,458,760,382.28/66,164.84
  6. Step 6: Final answer
    x = 52,274.90

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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.