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Finding the Fourth Proportional to 82,872.94, 124,309.34 and 20,543.44

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Solution

The fourth proportional to 82,872.94, 124,309.34 and 20,543.44 is: 30,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,872.94 : 124,309.34 = 20,543.44 : x
  2. Step 2: Convert to fraction form
    82,872.94/124,309.34 = 20,543.44/x
  3. Step 3: Cross multiply
    82,872.94x = 124,309.34 × 20,543.44
  4. Step 4: Simplify right side
    82,872.94x = 2,553,741,467.73
  5. Step 5: Solve for x
    x = 2,553,741,467.73/82,872.94
  6. Step 6: Final answer
    x = 30,815.14

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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.