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Finding the Fourth Proportional to 215,912.40, 323,638.20 and 82,741.20

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Solution

The fourth proportional to 215,912.40, 323,638.20 and 82,741.20 is: 124,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,912.40 : 323,638.20 = 82,741.20 : x
  2. Step 2: Convert to fraction form
    215,912.40/323,638.20 = 82,741.20/x
  3. Step 3: Cross multiply
    215,912.40x = 323,638.20 × 82,741.20
  4. Step 4: Simplify right side
    215,912.40x = 26,778,213,033.84
  5. Step 5: Solve for x
    x = 26,778,213,033.84/215,912.40
  6. Step 6: Final answer
    x = 124,023.51

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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.