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Finding the Fourth Proportional to 120,128.78, 165,770.94 and 66,410.60

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Solution

The fourth proportional to 120,128.78, 165,770.94 and 66,410.60 is: 91,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,128.78 : 165,770.94 = 66,410.60 : x
  2. Step 2: Convert to fraction form
    120,128.78/165,770.94 = 66,410.60/x
  3. Step 3: Cross multiply
    120,128.78x = 165,770.94 × 66,410.60
  4. Step 4: Simplify right side
    120,128.78x = 11,008,947,587.96
  5. Step 5: Solve for x
    x = 11,008,947,587.96/120,128.78
  6. Step 6: Final answer
    x = 91,642.88

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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.