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Finding the Fourth Proportional to 120,205.89, 165,882.60 and 66,489.93

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Solution

The fourth proportional to 120,205.89, 165,882.60 and 66,489.93 is: 91,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,205.89 : 165,882.60 = 66,489.93 : x
  2. Step 2: Convert to fraction form
    120,205.89/165,882.60 = 66,489.93/x
  3. Step 3: Cross multiply
    120,205.89x = 165,882.60 × 66,489.93
  4. Step 4: Simplify right side
    120,205.89x = 11,029,522,462.22
  5. Step 5: Solve for x
    x = 11,029,522,462.22/120,205.89
  6. Step 6: Final answer
    x = 91,755.26

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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.