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Finding the Fourth Proportional to 215,910.40, 323,635.20 and 82,739.20

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Solution

The fourth proportional to 215,910.40, 323,635.20 and 82,739.20 is: 124,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,910.40 : 323,635.20 = 82,739.20 : x
  2. Step 2: Convert to fraction form
    215,910.40/323,635.20 = 82,739.20/x
  3. Step 3: Cross multiply
    215,910.40x = 323,635.20 × 82,739.20
  4. Step 4: Simplify right side
    215,910.40x = 26,777,317,539.84
  5. Step 5: Solve for x
    x = 26,777,317,539.84/215,910.40
  6. Step 6: Final answer
    x = 124,020.51

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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.