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Finding the Fourth Proportional to 120,104.45, 165,741.22 and 66,388.09

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Solution

The fourth proportional to 120,104.45, 165,741.22 and 66,388.09 is: 91,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,104.45 : 165,741.22 = 66,388.09 : x
  2. Step 2: Convert to fraction form
    120,104.45/165,741.22 = 66,388.09/x
  3. Step 3: Cross multiply
    120,104.45x = 165,741.22 × 66,388.09
  4. Step 4: Simplify right side
    120,104.45x = 11,003,242,367.33
  5. Step 5: Solve for x
    x = 11,003,242,367.33/120,104.45
  6. Step 6: Final answer
    x = 91,613.94

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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.