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Finding the Fourth Proportional to 215,812.80, 323,742.72 and 82,806

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Solution

The fourth proportional to 215,812.80, 323,742.72 and 82,806 is: 124,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,812.80 : 323,742.72 = 82,806 : x
  2. Step 2: Convert to fraction form
    215,812.80/323,742.72 = 82,806/x
  3. Step 3: Cross multiply
    215,812.80x = 323,742.72 × 82,806
  4. Step 4: Simplify right side
    215,812.80x = 26,807,839,672.32
  5. Step 5: Solve for x
    x = 26,807,839,672.32/215,812.80
  6. Step 6: Final answer
    x = 124,218.02

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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.