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Finding the Fourth Proportional to 31,861.26, 47,793.51 and 12,136.14

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Solution

The fourth proportional to 31,861.26, 47,793.51 and 12,136.14 is: 18,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.26 : 47,793.51 = 12,136.14 : x
  2. Step 2: Convert to fraction form
    31,861.26/47,793.51 = 12,136.14/x
  3. Step 3: Cross multiply
    31,861.26x = 47,793.51 × 12,136.14
  4. Step 4: Simplify right side
    31,861.26x = 580,028,728.45
  5. Step 5: Solve for x
    x = 580,028,728.45/31,861.26
  6. Step 6: Final answer
    x = 18,204.83

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