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Finding the Fourth Proportional to 65,936.31, 90,969.72 and 37,251.78

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Solution

The fourth proportional to 65,936.31, 90,969.72 and 37,251.78 is: 51,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936.31 : 90,969.72 = 37,251.78 : x
  2. Step 2: Convert to fraction form
    65,936.31/90,969.72 = 37,251.78/x
  3. Step 3: Cross multiply
    65,936.31x = 90,969.72 × 37,251.78
  4. Step 4: Simplify right side
    65,936.31x = 3,388,783,996.10
  5. Step 5: Solve for x
    x = 3,388,783,996.10/65,936.31
  6. Step 6: Final answer
    x = 51,394.81

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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.