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Finding the Fourth Proportional to 57,586, 86,387.64 and 20,658.64

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Solution

The fourth proportional to 57,586, 86,387.64 and 20,658.64 is: 30,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586 : 86,387.64 = 20,658.64 : x
  2. Step 2: Convert to fraction form
    57,586/86,387.64 = 20,658.64/x
  3. Step 3: Cross multiply
    57,586x = 86,387.64 × 20,658.64
  4. Step 4: Simplify right side
    57,586x = 1,784,651,155.21
  5. Step 5: Solve for x
    x = 1,784,651,155.21/57,586
  6. Step 6: Final answer
    x = 30,991.06

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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.