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Finding the Fourth Proportional to 72,871.92, 109,296 and 20,269.44

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Solution

The fourth proportional to 72,871.92, 109,296 and 20,269.44 is: 30,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,871.92 : 109,296 = 20,269.44 : x
  2. Step 2: Convert to fraction form
    72,871.92/109,296 = 20,269.44/x
  3. Step 3: Cross multiply
    72,871.92x = 109,296 × 20,269.44
  4. Step 4: Simplify right side
    72,871.92x = 2,215,368,714.24
  5. Step 5: Solve for x
    x = 2,215,368,714.24/72,871.92
  6. Step 6: Final answer
    x = 30,400.86

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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.