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Finding the Fourth Proportional to 120,238.38, 165,899.10 and 77,745.78

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Solution

The fourth proportional to 120,238.38, 165,899.10 and 77,745.78 is: 107,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,238.38 : 165,899.10 = 77,745.78 : x
  2. Step 2: Convert to fraction form
    120,238.38/165,899.10 = 77,745.78/x
  3. Step 3: Cross multiply
    120,238.38x = 165,899.10 × 77,745.78
  4. Step 4: Simplify right side
    120,238.38x = 12,897,954,930.80
  5. Step 5: Solve for x
    x = 12,897,954,930.80/120,238.38
  6. Step 6: Final answer
    x = 107,269.87

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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.