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Finding the Fourth Proportional to 120,635.87, 180,955.11 and 36,396.78

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Solution

The fourth proportional to 120,635.87, 180,955.11 and 36,396.78 is: 54,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,635.87 : 180,955.11 = 36,396.78 : x
  2. Step 2: Convert to fraction form
    120,635.87/180,955.11 = 36,396.78/x
  3. Step 3: Cross multiply
    120,635.87x = 180,955.11 × 36,396.78
  4. Step 4: Simplify right side
    120,635.87x = 6,586,183,531.35
  5. Step 5: Solve for x
    x = 6,586,183,531.35/120,635.87
  6. Step 6: Final answer
    x = 54,595.57

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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.