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Finding the Fourth Proportional to 215,732.50, 297,721.04 and 120,239.88

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Solution

The fourth proportional to 215,732.50, 297,721.04 and 120,239.88 is: 165,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,732.50 : 297,721.04 = 120,239.88 : x
  2. Step 2: Convert to fraction form
    215,732.50/297,721.04 = 120,239.88/x
  3. Step 3: Cross multiply
    215,732.50x = 297,721.04 × 120,239.88
  4. Step 4: Simplify right side
    215,732.50x = 35,797,940,405.42
  5. Step 5: Solve for x
    x = 35,797,940,405.42/215,732.50
  6. Step 6: Final answer
    x = 165,936.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.