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Finding the Fourth Proportional to 120,221.22, 165,911.34 and 72,489.96

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Solution

The fourth proportional to 120,221.22, 165,911.34 and 72,489.96 is: 100,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,221.22 : 165,911.34 = 72,489.96 : x
  2. Step 2: Convert to fraction form
    120,221.22/165,911.34 = 72,489.96/x
  3. Step 3: Cross multiply
    120,221.22x = 165,911.34 × 72,489.96
  4. Step 4: Simplify right side
    120,221.22x = 12,026,906,400.15
  5. Step 5: Solve for x
    x = 12,026,906,400.15/120,221.22
  6. Step 6: Final answer
    x = 100,039.80

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1.5x scale

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.