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Finding the Fourth Proportional to 81,185.84, 121,797.22 and 36,825.28

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Solution

The fourth proportional to 81,185.84, 121,797.22 and 36,825.28 is: 55,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,185.84 : 121,797.22 = 36,825.28 : x
  2. Step 2: Convert to fraction form
    81,185.84/121,797.22 = 36,825.28/x
  3. Step 3: Cross multiply
    81,185.84x = 121,797.22 × 36,825.28
  4. Step 4: Simplify right side
    81,185.84x = 4,485,217,087.32
  5. Step 5: Solve for x
    x = 4,485,217,087.32/81,185.84
  6. Step 6: Final answer
    x = 55,246.29

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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.