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Finding the Fourth Proportional to 80,389.76, 110,989.92 and 51,722.24

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Solution

The fourth proportional to 80,389.76, 110,989.92 and 51,722.24 is: 71,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,389.76 : 110,989.92 = 51,722.24 : x
  2. Step 2: Convert to fraction form
    80,389.76/110,989.92 = 51,722.24/x
  3. Step 3: Cross multiply
    80,389.76x = 110,989.92 × 51,722.24
  4. Step 4: Simplify right side
    80,389.76x = 5,740,647,279.82
  5. Step 5: Solve for x
    x = 5,740,647,279.82/80,389.76
  6. Step 6: Final answer
    x = 71,410.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.