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Finding the Fourth Proportional to 275,135.10, 379,765.17 and 162,023.46

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Solution

The fourth proportional to 275,135.10, 379,765.17 and 162,023.46 is: 223,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,135.10 : 379,765.17 = 162,023.46 : x
  2. Step 2: Convert to fraction form
    275,135.10/379,765.17 = 162,023.46/x
  3. Step 3: Cross multiply
    275,135.10x = 379,765.17 × 162,023.46
  4. Step 4: Simplify right side
    275,135.10x = 61,530,866,830.89
  5. Step 5: Solve for x
    x = 61,530,866,830.89/275,135.10
  6. Step 6: Final answer
    x = 223,638.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.