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Finding the Fourth Proportional to 215,712.84, 323,715.12 and 75,472.68

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Solution

The fourth proportional to 215,712.84, 323,715.12 and 75,472.68 is: 113,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,712.84 : 323,715.12 = 75,472.68 : x
  2. Step 2: Convert to fraction form
    215,712.84/323,715.12 = 75,472.68/x
  3. Step 3: Cross multiply
    215,712.84x = 323,715.12 × 75,472.68
  4. Step 4: Simplify right side
    215,712.84x = 24,431,647,662.92
  5. Step 5: Solve for x
    x = 24,431,647,662.92/215,712.84
  6. Step 6: Final answer
    x = 113,260.05

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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.