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Finding the Fourth Proportional to 275,206.26, 412,868.64 and 85,662.60

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Solution

The fourth proportional to 275,206.26, 412,868.64 and 85,662.60 is: 128,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,206.26 : 412,868.64 = 85,662.60 : x
  2. Step 2: Convert to fraction form
    275,206.26/412,868.64 = 85,662.60/x
  3. Step 3: Cross multiply
    275,206.26x = 412,868.64 × 85,662.60
  4. Step 4: Simplify right side
    275,206.26x = 35,367,401,160.86
  5. Step 5: Solve for x
    x = 35,367,401,160.86/275,206.26
  6. Step 6: Final answer
    x = 128,512.34

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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.