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Finding the Fourth Proportional to 57,484.29, 86,198.67 and 20,043.48

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Solution

The fourth proportional to 57,484.29, 86,198.67 and 20,043.48 is: 30,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,484.29 : 86,198.67 = 20,043.48 : x
  2. Step 2: Convert to fraction form
    57,484.29/86,198.67 = 20,043.48/x
  3. Step 3: Cross multiply
    57,484.29x = 86,198.67 × 20,043.48
  4. Step 4: Simplify right side
    57,484.29x = 1,727,721,318.17
  5. Step 5: Solve for x
    x = 1,727,721,318.17/57,484.29
  6. Step 6: Final answer
    x = 30,055.54

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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.