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Finding the Fourth Proportional to 273,233.80, 409,850.70 and 86,245.30

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Solution

The fourth proportional to 273,233.80, 409,850.70 and 86,245.30 is: 129,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,233.80 : 409,850.70 = 86,245.30 : x
  2. Step 2: Convert to fraction form
    273,233.80/409,850.70 = 86,245.30/x
  3. Step 3: Cross multiply
    273,233.80x = 409,850.70 × 86,245.30
  4. Step 4: Simplify right side
    273,233.80x = 35,347,696,576.71
  5. Step 5: Solve for x
    x = 35,347,696,576.71/273,233.80
  6. Step 6: Final answer
    x = 129,367.95

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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.