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Finding the Fourth Proportional to 66,107.28, 91,227.53 and 35,892

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Solution

The fourth proportional to 66,107.28, 91,227.53 and 35,892 is: 49,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,107.28 : 91,227.53 = 35,892 : x
  2. Step 2: Convert to fraction form
    66,107.28/91,227.53 = 35,892/x
  3. Step 3: Cross multiply
    66,107.28x = 91,227.53 × 35,892
  4. Step 4: Simplify right side
    66,107.28x = 3,274,338,327.30
  5. Step 5: Solve for x
    x = 3,274,338,327.30/66,107.28
  6. Step 6: Final answer
    x = 49,530.68

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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.