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Finding the Fourth Proportional to 213,682.87, 320,569.68 and 80,559.91

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Solution

The fourth proportional to 213,682.87, 320,569.68 and 80,559.91 is: 120,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,682.87 : 320,569.68 = 80,559.91 : x
  2. Step 2: Convert to fraction form
    213,682.87/320,569.68 = 80,559.91/x
  3. Step 3: Cross multiply
    213,682.87x = 320,569.68 × 80,559.91
  4. Step 4: Simplify right side
    213,682.87x = 25,825,064,569.53
  5. Step 5: Solve for x
    x = 25,825,064,569.53/213,682.87
  6. Step 6: Final answer
    x = 120,856.97

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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.