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Finding the Fourth Proportional to 215,376, 323,116.32 and 67,632

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Solution

The fourth proportional to 215,376, 323,116.32 and 67,632 is: 101,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,376 : 323,116.32 = 67,632 : x
  2. Step 2: Convert to fraction form
    215,376/323,116.32 = 67,632/x
  3. Step 3: Cross multiply
    215,376x = 323,116.32 × 67,632
  4. Step 4: Simplify right side
    215,376x = 21,853,002,954.24
  5. Step 5: Solve for x
    x = 21,853,002,954.24/215,376
  6. Step 6: Final answer
    x = 101,464.43

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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.