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Finding the Fourth Proportional to 80,471.48, 111,015.97 and 48,621.94

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Solution

The fourth proportional to 80,471.48, 111,015.97 and 48,621.94 is: 67,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471.48 : 111,015.97 = 48,621.94 : x
  2. Step 2: Convert to fraction form
    80,471.48/111,015.97 = 48,621.94/x
  3. Step 3: Cross multiply
    80,471.48x = 111,015.97 × 48,621.94
  4. Step 4: Simplify right side
    80,471.48x = 5,397,811,433.29
  5. Step 5: Solve for x
    x = 5,397,811,433.29/80,471.48
  6. Step 6: Final answer
    x = 67,077.33

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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.