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Finding the Fourth Proportional to 71,136.56, 106,704.84 and 18,545.90

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Solution

The fourth proportional to 71,136.56, 106,704.84 and 18,545.90 is: 27,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,136.56 : 106,704.84 = 18,545.90 : x
  2. Step 2: Convert to fraction form
    71,136.56/106,704.84 = 18,545.90/x
  3. Step 3: Cross multiply
    71,136.56x = 106,704.84 × 18,545.90
  4. Step 4: Simplify right side
    71,136.56x = 1,978,936,758.63
  5. Step 5: Solve for x
    x = 1,978,936,758.63/71,136.56
  6. Step 6: Final answer
    x = 27,818.84

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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.