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Finding the Fourth Proportional to 220,976.80, 331,465.20 and 54,764.80

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Solution

The fourth proportional to 220,976.80, 331,465.20 and 54,764.80 is: 82,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,976.80 : 331,465.20 = 54,764.80 : x
  2. Step 2: Convert to fraction form
    220,976.80/331,465.20 = 54,764.80/x
  3. Step 3: Cross multiply
    220,976.80x = 331,465.20 × 54,764.80
  4. Step 4: Simplify right side
    220,976.80x = 18,152,625,384.96
  5. Step 5: Solve for x
    x = 18,152,625,384.96/220,976.80
  6. Step 6: Final answer
    x = 82,147.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.