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Finding the Fourth Proportional to 120,608.74, 180,921.82 and 31,861.10

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Solution

The fourth proportional to 120,608.74, 180,921.82 and 31,861.10 is: 47,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,608.74 : 180,921.82 = 31,861.10 : x
  2. Step 2: Convert to fraction form
    120,608.74/180,921.82 = 31,861.10/x
  3. Step 3: Cross multiply
    120,608.74x = 180,921.82 × 31,861.10
  4. Step 4: Simplify right side
    120,608.74x = 5,764,368,199.20
  5. Step 5: Solve for x
    x = 5,764,368,199.20/120,608.74
  6. Step 6: Final answer
    x = 47,793.95

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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.