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Finding the Fourth Proportional to 81,797.56, 122,622.01 and 29,194.74

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Solution

The fourth proportional to 81,797.56, 122,622.01 and 29,194.74 is: 43,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,797.56 : 122,622.01 = 29,194.74 : x
  2. Step 2: Convert to fraction form
    81,797.56/122,622.01 = 29,194.74/x
  3. Step 3: Cross multiply
    81,797.56x = 122,622.01 × 29,194.74
  4. Step 4: Simplify right side
    81,797.56x = 3,579,918,004.95
  5. Step 5: Solve for x
    x = 3,579,918,004.95/81,797.56
  6. Step 6: Final answer
    x = 43,765.58

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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.