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Finding the Fourth Proportional to 57,451.76, 86,149.96 and 20,011

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Solution

The fourth proportional to 57,451.76, 86,149.96 and 20,011 is: 30,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,451.76 : 86,149.96 = 20,011 : x
  2. Step 2: Convert to fraction form
    57,451.76/86,149.96 = 20,011/x
  3. Step 3: Cross multiply
    57,451.76x = 86,149.96 × 20,011
  4. Step 4: Simplify right side
    57,451.76x = 1,723,946,849.56
  5. Step 5: Solve for x
    x = 1,723,946,849.56/57,451.76
  6. Step 6: Final answer
    x = 30,006.86

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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.