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Finding the Fourth Proportional to 272,137.10, 408,206.95 and 82,599.11

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Solution

The fourth proportional to 272,137.10, 408,206.95 and 82,599.11 is: 123,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,137.10 : 408,206.95 = 82,599.11 : x
  2. Step 2: Convert to fraction form
    272,137.10/408,206.95 = 82,599.11/x
  3. Step 3: Cross multiply
    272,137.10x = 408,206.95 × 82,599.11
  4. Step 4: Simplify right side
    272,137.10x = 33,717,530,765.81
  5. Step 5: Solve for x
    x = 33,717,530,765.81/272,137.10
  6. Step 6: Final answer
    x = 123,899.06

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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.