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Finding the Fourth Proportional to 85,099.92, 127,640.16 and 22,775.28

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Solution

The fourth proportional to 85,099.92, 127,640.16 and 22,775.28 is: 34,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,099.92 : 127,640.16 = 22,775.28 : x
  2. Step 2: Convert to fraction form
    85,099.92/127,640.16 = 22,775.28/x
  3. Step 3: Cross multiply
    85,099.92x = 127,640.16 × 22,775.28
  4. Step 4: Simplify right side
    85,099.92x = 2,907,040,383.24
  5. Step 5: Solve for x
    x = 2,907,040,383.24/85,099.92
  6. Step 6: Final answer
    x = 34,160.32

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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.