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Finding the Fourth Proportional to 57,077.80, 85,601.34 and 20,137

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Solution

The fourth proportional to 57,077.80, 85,601.34 and 20,137 is: 30,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,077.80 : 85,601.34 = 20,137 : x
  2. Step 2: Convert to fraction form
    57,077.80/85,601.34 = 20,137/x
  3. Step 3: Cross multiply
    57,077.80x = 85,601.34 × 20,137
  4. Step 4: Simplify right side
    57,077.80x = 1,723,754,183.58
  5. Step 5: Solve for x
    x = 1,723,754,183.58/57,077.80
  6. Step 6: Final answer
    x = 30,200.08

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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.