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Finding the Fourth Proportional to 213,976.80, 320,737.59 and 80,800.38

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Solution

The fourth proportional to 213,976.80, 320,737.59 and 80,800.38 is: 121,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,976.80 : 320,737.59 = 80,800.38 : x
  2. Step 2: Convert to fraction form
    213,976.80/320,737.59 = 80,800.38/x
  3. Step 3: Cross multiply
    213,976.80x = 320,737.59 × 80,800.38
  4. Step 4: Simplify right side
    213,976.80x = 25,915,719,152.28
  5. Step 5: Solve for x
    x = 25,915,719,152.28/213,976.80
  6. Step 6: Final answer
    x = 121,114.62

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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.