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Finding the Fourth Proportional to 80,218, 110,453.58 and 71,249.92

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Solution

The fourth proportional to 80,218, 110,453.58 and 71,249.92 is: 98,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,218 : 110,453.58 = 71,249.92 : x
  2. Step 2: Convert to fraction form
    80,218/110,453.58 = 71,249.92/x
  3. Step 3: Cross multiply
    80,218x = 110,453.58 × 71,249.92
  4. Step 4: Simplify right side
    80,218x = 7,869,808,738.71
  5. Step 5: Solve for x
    x = 7,869,808,738.71/80,218
  6. Step 6: Final answer
    x = 98,105.27

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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.