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Finding the Fourth Proportional to 161,314.50, 222,603.48 and 89,691.90

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Solution

The fourth proportional to 161,314.50, 222,603.48 and 89,691.90 is: 123,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,314.50 : 222,603.48 = 89,691.90 : x
  2. Step 2: Convert to fraction form
    161,314.50/222,603.48 = 89,691.90/x
  3. Step 3: Cross multiply
    161,314.50x = 222,603.48 × 89,691.90
  4. Step 4: Simplify right side
    161,314.50x = 19,965,729,067.81
  5. Step 5: Solve for x
    x = 19,965,729,067.81/161,314.50
  6. Step 6: Final answer
    x = 123,768.97

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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.