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Finding the Fourth Proportional to 120,121.92, 165,745.44 and 75,389.76

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Solution

The fourth proportional to 120,121.92, 165,745.44 and 75,389.76 is: 104,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,121.92 : 165,745.44 = 75,389.76 : x
  2. Step 2: Convert to fraction form
    120,121.92/165,745.44 = 75,389.76/x
  3. Step 3: Cross multiply
    120,121.92x = 165,745.44 × 75,389.76
  4. Step 4: Simplify right side
    120,121.92x = 12,495,508,942.69
  5. Step 5: Solve for x
    x = 12,495,508,942.69/120,121.92
  6. Step 6: Final answer
    x = 104,023.55

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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.