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Finding the Fourth Proportional to 272,491.26, 408,710.97 and 85,469.82

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Solution

The fourth proportional to 272,491.26, 408,710.97 and 85,469.82 is: 128,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,491.26 : 408,710.97 = 85,469.82 : x
  2. Step 2: Convert to fraction form
    272,491.26/408,710.97 = 85,469.82/x
  3. Step 3: Cross multiply
    272,491.26x = 408,710.97 × 85,469.82
  4. Step 4: Simplify right side
    272,491.26x = 34,932,453,037.93
  5. Step 5: Solve for x
    x = 34,932,453,037.93/272,491.26
  6. Step 6: Final answer
    x = 128,196.60

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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.