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Finding the Fourth Proportional to 275,205, 412,755.29 and 85,667.73

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Solution

The fourth proportional to 275,205, 412,755.29 and 85,667.73 is: 128,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205 : 412,755.29 = 85,667.73 : x
  2. Step 2: Convert to fraction form
    275,205/412,755.29 = 85,667.73/x
  3. Step 3: Cross multiply
    275,205x = 412,755.29 × 85,667.73
  4. Step 4: Simplify right side
    275,205x = 35,359,808,739.79
  5. Step 5: Solve for x
    x = 35,359,808,739.79/275,205
  6. Step 6: Final answer
    x = 128,485.34

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1.5x scale

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.