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Finding the Fourth Proportional to 272,012.80, 408,076.80 and 82,457.60

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Solution

The fourth proportional to 272,012.80, 408,076.80 and 82,457.60 is: 123,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,012.80 : 408,076.80 = 82,457.60 : x
  2. Step 2: Convert to fraction form
    272,012.80/408,076.80 = 82,457.60/x
  3. Step 3: Cross multiply
    272,012.80x = 408,076.80 × 82,457.60
  4. Step 4: Simplify right side
    272,012.80x = 33,649,033,543.68
  5. Step 5: Solve for x
    x = 33,649,033,543.68/272,012.80
  6. Step 6: Final answer
    x = 123,703.86

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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.