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Finding the Fourth Proportional to 161,290.64, 222,588.48 and 89,678

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Solution

The fourth proportional to 161,290.64, 222,588.48 and 89,678 is: 123,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,290.64 : 222,588.48 = 89,678 : x
  2. Step 2: Convert to fraction form
    161,290.64/222,588.48 = 89,678/x
  3. Step 3: Cross multiply
    161,290.64x = 222,588.48 × 89,678
  4. Step 4: Simplify right side
    161,290.64x = 19,961,289,709.44
  5. Step 5: Solve for x
    x = 19,961,289,709.44/161,290.64
  6. Step 6: Final answer
    x = 123,759.75

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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.