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Finding the Fourth Proportional to 213,638.92, 320,532.39 and 80,557.34

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Solution

The fourth proportional to 213,638.92, 320,532.39 and 80,557.34 is: 120,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,638.92 : 320,532.39 = 80,557.34 : x
  2. Step 2: Convert to fraction form
    213,638.92/320,532.39 = 80,557.34/x
  3. Step 3: Cross multiply
    213,638.92x = 320,532.39 × 80,557.34
  4. Step 4: Simplify right side
    213,638.92x = 25,821,235,119.58
  5. Step 5: Solve for x
    x = 25,821,235,119.58/213,638.92
  6. Step 6: Final answer
    x = 120,863.91

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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.