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Finding the Fourth Proportional to 57,821.42, 86,732.14 and 18,378.54

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Solution

The fourth proportional to 57,821.42, 86,732.14 and 18,378.54 is: 27,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,821.42 : 86,732.14 = 18,378.54 : x
  2. Step 2: Convert to fraction form
    57,821.42/86,732.14 = 18,378.54/x
  3. Step 3: Cross multiply
    57,821.42x = 86,732.14 × 18,378.54
  4. Step 4: Simplify right side
    57,821.42x = 1,594,010,104.28
  5. Step 5: Solve for x
    x = 1,594,010,104.28/57,821.42
  6. Step 6: Final answer
    x = 27,567.81

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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.