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Finding the Fourth Proportional to 120,165.57, 180,257.67 and 35,919.90

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Solution

The fourth proportional to 120,165.57, 180,257.67 and 35,919.90 is: 53,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,165.57 : 180,257.67 = 35,919.90 : x
  2. Step 2: Convert to fraction form
    120,165.57/180,257.67 = 35,919.90/x
  3. Step 3: Cross multiply
    120,165.57x = 180,257.67 × 35,919.90
  4. Step 4: Simplify right side
    120,165.57x = 6,474,837,480.63
  5. Step 5: Solve for x
    x = 6,474,837,480.63/120,165.57
  6. Step 6: Final answer
    x = 53,882.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.