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Finding the Fourth Proportional to 81,785.68, 122,704.44 and 29,194

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Solution

The fourth proportional to 81,785.68, 122,704.44 and 29,194 is: 43,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,785.68 : 122,704.44 = 29,194 : x
  2. Step 2: Convert to fraction form
    81,785.68/122,704.44 = 29,194/x
  3. Step 3: Cross multiply
    81,785.68x = 122,704.44 × 29,194
  4. Step 4: Simplify right side
    81,785.68x = 3,582,233,421.36
  5. Step 5: Solve for x
    x = 3,582,233,421.36/81,785.68
  6. Step 6: Final answer
    x = 43,800.25

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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.