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Finding the Fourth Proportional to 216,729.26, 325,115.76 and 81,759.46

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Solution

The fourth proportional to 216,729.26, 325,115.76 and 81,759.46 is: 122,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,729.26 : 325,115.76 = 81,759.46 : x
  2. Step 2: Convert to fraction form
    216,729.26/325,115.76 = 81,759.46/x
  3. Step 3: Cross multiply
    216,729.26x = 325,115.76 × 81,759.46
  4. Step 4: Simplify right side
    216,729.26x = 26,581,288,975.09
  5. Step 5: Solve for x
    x = 26,581,288,975.09/216,729.26
  6. Step 6: Final answer
    x = 122,647.44

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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.