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Finding the Fourth Proportional to 57,591.85, 86,382.11 and 20,145.01

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Solution

The fourth proportional to 57,591.85, 86,382.11 and 20,145.01 is: 30,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,591.85 : 86,382.11 = 20,145.01 : x
  2. Step 2: Convert to fraction form
    57,591.85/86,382.11 = 20,145.01/x
  3. Step 3: Cross multiply
    57,591.85x = 86,382.11 × 20,145.01
  4. Step 4: Simplify right side
    57,591.85x = 1,740,168,369.05
  5. Step 5: Solve for x
    x = 1,740,168,369.05/57,591.85
  6. Step 6: Final answer
    x = 30,215.53

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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.