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Finding the Fourth Proportional to 161,384.43, 222,709.92 and 89,764.46

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Solution

The fourth proportional to 161,384.43, 222,709.92 and 89,764.46 is: 123,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,384.43 : 222,709.92 = 89,764.46 : x
  2. Step 2: Convert to fraction form
    161,384.43/222,709.92 = 89,764.46/x
  3. Step 3: Cross multiply
    161,384.43x = 222,709.92 × 89,764.46
  4. Step 4: Simplify right side
    161,384.43x = 19,991,435,705.44
  5. Step 5: Solve for x
    x = 19,991,435,705.44/161,384.43
  6. Step 6: Final answer
    x = 123,874.62

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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.