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Finding the Fourth Proportional to 57,850.42, 86,774 and 18,409.90

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Solution

The fourth proportional to 57,850.42, 86,774 and 18,409.90 is: 27,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,850.42 : 86,774 = 18,409.90 : x
  2. Step 2: Convert to fraction form
    57,850.42/86,774 = 18,409.90/x
  3. Step 3: Cross multiply
    57,850.42x = 86,774 × 18,409.90
  4. Step 4: Simplify right side
    57,850.42x = 1,597,500,662.60
  5. Step 5: Solve for x
    x = 1,597,500,662.60/57,850.42
  6. Step 6: Final answer
    x = 27,614.33

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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.