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Finding the Fourth Proportional to 66,200.78, 91,357.40 and 35,986.09

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Solution

The fourth proportional to 66,200.78, 91,357.40 and 35,986.09 is: 49,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,200.78 : 91,357.40 = 35,986.09 : x
  2. Step 2: Convert to fraction form
    66,200.78/91,357.40 = 35,986.09/x
  3. Step 3: Cross multiply
    66,200.78x = 91,357.40 × 35,986.09
  4. Step 4: Simplify right side
    66,200.78x = 3,287,595,618.57
  5. Step 5: Solve for x
    x = 3,287,595,618.57/66,200.78
  6. Step 6: Final answer
    x = 49,660.98

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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.