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Finding the Fourth Proportional to 66,642.33, 91,966.41 and 36,427.78

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Solution

The fourth proportional to 66,642.33, 91,966.41 and 36,427.78 is: 50,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,642.33 : 91,966.41 = 36,427.78 : x
  2. Step 2: Convert to fraction form
    66,642.33/91,966.41 = 36,427.78/x
  3. Step 3: Cross multiply
    66,642.33x = 91,966.41 × 36,427.78
  4. Step 4: Simplify right side
    66,642.33x = 3,350,131,736.57
  5. Step 5: Solve for x
    x = 3,350,131,736.57/66,642.33
  6. Step 6: Final answer
    x = 50,270.33

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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.