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Finding the Fourth Proportional to 80,144.87, 111,105.68 and 75,878.84

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Solution

The fourth proportional to 80,144.87, 111,105.68 and 75,878.84 is: 105,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,144.87 : 111,105.68 = 75,878.84 : x
  2. Step 2: Convert to fraction form
    80,144.87/111,105.68 = 75,878.84/x
  3. Step 3: Cross multiply
    80,144.87x = 111,105.68 × 75,878.84
  4. Step 4: Simplify right side
    80,144.87x = 8,430,570,014.18
  5. Step 5: Solve for x
    x = 8,430,570,014.18/80,144.87
  6. Step 6: Final answer
    x = 105,191.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.