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Finding the Fourth Proportional to 213,461.58, 320,192.37 and 80,371.69

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Solution

The fourth proportional to 213,461.58, 320,192.37 and 80,371.69 is: 120,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,461.58 : 320,192.37 = 80,371.69 : x
  2. Step 2: Convert to fraction form
    213,461.58/320,192.37 = 80,371.69/x
  3. Step 3: Cross multiply
    213,461.58x = 320,192.37 × 80,371.69
  4. Step 4: Simplify right side
    213,461.58x = 25,734,401,902.01
  5. Step 5: Solve for x
    x = 25,734,401,902.01/213,461.58
  6. Step 6: Final answer
    x = 120,557.54

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1.5x scale

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.