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Finding the Fourth Proportional to 82,379.52, 123,569.30 and 20,049.48

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Solution

The fourth proportional to 82,379.52, 123,569.30 and 20,049.48 is: 30,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,379.52 : 123,569.30 = 20,049.48 : x
  2. Step 2: Convert to fraction form
    82,379.52/123,569.30 = 20,049.48/x
  3. Step 3: Cross multiply
    82,379.52x = 123,569.30 × 20,049.48
  4. Step 4: Simplify right side
    82,379.52x = 2,477,500,208.96
  5. Step 5: Solve for x
    x = 2,477,500,208.96/82,379.52
  6. Step 6: Final answer
    x = 30,074.22

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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.