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Finding the Fourth Proportional to 275,236.76, 412,822.20 and 85,710.80

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Solution

The fourth proportional to 275,236.76, 412,822.20 and 85,710.80 is: 128,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,236.76 : 412,822.20 = 85,710.80 : x
  2. Step 2: Convert to fraction form
    275,236.76/412,822.20 = 85,710.80/x
  3. Step 3: Cross multiply
    275,236.76x = 412,822.20 × 85,710.80
  4. Step 4: Simplify right side
    275,236.76x = 35,383,321,019.76
  5. Step 5: Solve for x
    x = 35,383,321,019.76/275,236.76
  6. Step 6: Final answer
    x = 128,555.94

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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.