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Finding the Fourth Proportional to 80,472.94, 120,668.91 and 27,868.30

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Solution

The fourth proportional to 80,472.94, 120,668.91 and 27,868.30 is: 41,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,472.94 : 120,668.91 = 27,868.30 : x
  2. Step 2: Convert to fraction form
    80,472.94/120,668.91 = 27,868.30/x
  3. Step 3: Cross multiply
    80,472.94x = 120,668.91 × 27,868.30
  4. Step 4: Simplify right side
    80,472.94x = 3,362,837,384.55
  5. Step 5: Solve for x
    x = 3,362,837,384.55/80,472.94
  6. Step 6: Final answer
    x = 41,788.42

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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.