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Finding the Fourth Proportional to 57,859.92, 86,788.20 and 18,419.40

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Solution

The fourth proportional to 57,859.92, 86,788.20 and 18,419.40 is: 27,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,859.92 : 86,788.20 = 18,419.40 : x
  2. Step 2: Convert to fraction form
    57,859.92/86,788.20 = 18,419.40/x
  3. Step 3: Cross multiply
    57,859.92x = 86,788.20 × 18,419.40
  4. Step 4: Simplify right side
    57,859.92x = 1,598,586,571.08
  5. Step 5: Solve for x
    x = 1,598,586,571.08/57,859.92
  6. Step 6: Final answer
    x = 27,628.57

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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.