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Finding the Fourth Proportional to 275,106.60, 412,719.30 and 85,563.36

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Solution

The fourth proportional to 275,106.60, 412,719.30 and 85,563.36 is: 128,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,106.60 : 412,719.30 = 85,563.36 : x
  2. Step 2: Convert to fraction form
    275,106.60/412,719.30 = 85,563.36/x
  3. Step 3: Cross multiply
    275,106.60x = 412,719.30 × 85,563.36
  4. Step 4: Simplify right side
    275,106.60x = 35,313,650,044.85
  5. Step 5: Solve for x
    x = 35,313,650,044.85/275,106.60
  6. Step 6: Final answer
    x = 128,363.51

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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.