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Finding the Fourth Proportional to 215,872.80, 323,655.60 and 82,701.60

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Solution

The fourth proportional to 215,872.80, 323,655.60 and 82,701.60 is: 123,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872.80 : 323,655.60 = 82,701.60 : x
  2. Step 2: Convert to fraction form
    215,872.80/323,655.60 = 82,701.60/x
  3. Step 3: Cross multiply
    215,872.80x = 323,655.60 × 82,701.60
  4. Step 4: Simplify right side
    215,872.80x = 26,766,835,968.96
  5. Step 5: Solve for x
    x = 26,766,835,968.96/215,872.80
  6. Step 6: Final answer
    x = 123,993.56

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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.