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Finding the Fourth Proportional to 80,671.52, 120,896.30 and 41,145.42

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Solution

The fourth proportional to 80,671.52, 120,896.30 and 41,145.42 is: 61,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,671.52 : 120,896.30 = 41,145.42 : x
  2. Step 2: Convert to fraction form
    80,671.52/120,896.30 = 41,145.42/x
  3. Step 3: Cross multiply
    80,671.52x = 120,896.30 × 41,145.42
  4. Step 4: Simplify right side
    80,671.52x = 4,974,329,039.95
  5. Step 5: Solve for x
    x = 4,974,329,039.95/80,671.52
  6. Step 6: Final answer
    x = 61,661.53

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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.