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Finding the Fourth Proportional to 91,969.20, 137,921.40 and 32,806.80

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Solution

The fourth proportional to 91,969.20, 137,921.40 and 32,806.80 is: 49,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,969.20 : 137,921.40 = 32,806.80 : x
  2. Step 2: Convert to fraction form
    91,969.20/137,921.40 = 32,806.80/x
  3. Step 3: Cross multiply
    91,969.20x = 137,921.40 × 32,806.80
  4. Step 4: Simplify right side
    91,969.20x = 4,524,759,785.52
  5. Step 5: Solve for x
    x = 4,524,759,785.52/91,969.20
  6. Step 6: Final answer
    x = 49,198.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.