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Finding the Fourth Proportional to 161,121.82, 222,348 and 89,508.50

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Solution

The fourth proportional to 161,121.82, 222,348 and 89,508.50 is: 123,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,121.82 : 222,348 = 89,508.50 : x
  2. Step 2: Convert to fraction form
    161,121.82/222,348 = 89,508.50/x
  3. Step 3: Cross multiply
    161,121.82x = 222,348 × 89,508.50
  4. Step 4: Simplify right side
    161,121.82x = 19,902,035,958
  5. Step 5: Solve for x
    x = 19,902,035,958/161,121.82
  6. Step 6: Final answer
    x = 123,521.67

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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.