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Finding the Fourth Proportional to 161,109, 222,333.96 and 88,512.84

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Solution

The fourth proportional to 161,109, 222,333.96 and 88,512.84 is: 122,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,109 : 222,333.96 = 88,512.84 : x
  2. Step 2: Convert to fraction form
    161,109/222,333.96 = 88,512.84/x
  3. Step 3: Cross multiply
    161,109x = 222,333.96 × 88,512.84
  4. Step 4: Simplify right side
    161,109x = 19,679,410,228.05
  5. Step 5: Solve for x
    x = 19,679,410,228.05/161,109
  6. Step 6: Final answer
    x = 122,149.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.