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Finding the Fourth Proportional to 80,202, 120,309.84 and 21,037.44

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Solution

The fourth proportional to 80,202, 120,309.84 and 21,037.44 is: 31,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,202 : 120,309.84 = 21,037.44 : x
  2. Step 2: Convert to fraction form
    80,202/120,309.84 = 21,037.44/x
  3. Step 3: Cross multiply
    80,202x = 120,309.84 × 21,037.44
  4. Step 4: Simplify right side
    80,202x = 2,531,011,040.41
  5. Step 5: Solve for x
    x = 2,531,011,040.41/80,202
  6. Step 6: Final answer
    x = 31,557.95

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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.