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Finding the Fourth Proportional to 81,984.82, 122,699.44 and 50,414.87

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Solution

The fourth proportional to 81,984.82, 122,699.44 and 50,414.87 is: 75,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,984.82 : 122,699.44 = 50,414.87 : x
  2. Step 2: Convert to fraction form
    81,984.82/122,699.44 = 50,414.87/x
  3. Step 3: Cross multiply
    81,984.82x = 122,699.44 × 50,414.87
  4. Step 4: Simplify right side
    81,984.82x = 6,185,875,829.21
  5. Step 5: Solve for x
    x = 6,185,875,829.21/81,984.82
  6. Step 6: Final answer
    x = 75,451.48

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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.