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Finding the Fourth Proportional to 80,651.98, 120,965.01 and 25,247.98

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Solution

The fourth proportional to 80,651.98, 120,965.01 and 25,247.98 is: 37,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,651.98 : 120,965.01 = 25,247.98 : x
  2. Step 2: Convert to fraction form
    80,651.98/120,965.01 = 25,247.98/x
  3. Step 3: Cross multiply
    80,651.98x = 120,965.01 × 25,247.98
  4. Step 4: Simplify right side
    80,651.98x = 3,054,122,153.18
  5. Step 5: Solve for x
    x = 3,054,122,153.18/80,651.98
  6. Step 6: Final answer
    x = 37,867.91

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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.