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Finding the Fourth Proportional to 80,403.84, 110,911.68 and 50,544

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Solution

The fourth proportional to 80,403.84, 110,911.68 and 50,544 is: 69,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,403.84 : 110,911.68 = 50,544 : x
  2. Step 2: Convert to fraction form
    80,403.84/110,911.68 = 50,544/x
  3. Step 3: Cross multiply
    80,403.84x = 110,911.68 × 50,544
  4. Step 4: Simplify right side
    80,403.84x = 5,605,919,953.92
  5. Step 5: Solve for x
    x = 5,605,919,953.92/80,403.84
  6. Step 6: Final answer
    x = 69,722.04

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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.