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Finding the Fourth Proportional to 52,843.36, 79,267.38 and 21,676

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Solution

The fourth proportional to 52,843.36, 79,267.38 and 21,676 is: 32,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,843.36 : 79,267.38 = 21,676 : x
  2. Step 2: Convert to fraction form
    52,843.36/79,267.38 = 21,676/x
  3. Step 3: Cross multiply
    52,843.36x = 79,267.38 × 21,676
  4. Step 4: Simplify right side
    52,843.36x = 1,718,199,728.88
  5. Step 5: Solve for x
    x = 1,718,199,728.88/52,843.36
  6. Step 6: Final answer
    x = 32,514.96

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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.