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Finding the Fourth Proportional to 120,102.92, 165,719.22 and 75,370.76

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Solution

The fourth proportional to 120,102.92, 165,719.22 and 75,370.76 is: 103,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.92 : 165,719.22 = 75,370.76 : x
  2. Step 2: Convert to fraction form
    120,102.92/165,719.22 = 75,370.76/x
  3. Step 3: Cross multiply
    120,102.92x = 165,719.22 × 75,370.76
  4. Step 4: Simplify right side
    120,102.92x = 12,490,383,558.01
  5. Step 5: Solve for x
    x = 12,490,383,558.01/120,102.92
  6. Step 6: Final answer
    x = 103,997.33

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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.