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Finding the Fourth Proportional to 225,936, 338,956.08 and 78,192

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Solution

The fourth proportional to 225,936, 338,956.08 and 78,192 is: 117,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,936 : 338,956.08 = 78,192 : x
  2. Step 2: Convert to fraction form
    225,936/338,956.08 = 78,192/x
  3. Step 3: Cross multiply
    225,936x = 338,956.08 × 78,192
  4. Step 4: Simplify right side
    225,936x = 26,503,653,807.36
  5. Step 5: Solve for x
    x = 26,503,653,807.36/225,936
  6. Step 6: Final answer
    x = 117,306.02

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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.