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Finding the Fourth Proportional to 196,224, 270,789.12 and 106,800

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Solution

The fourth proportional to 196,224, 270,789.12 and 106,800 is: 147,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,224 : 270,789.12 = 106,800 : x
  2. Step 2: Convert to fraction form
    196,224/270,789.12 = 106,800/x
  3. Step 3: Cross multiply
    196,224x = 270,789.12 × 106,800
  4. Step 4: Simplify right side
    196,224x = 28,920,278,016
  5. Step 5: Solve for x
    x = 28,920,278,016/196,224
  6. Step 6: Final answer
    x = 147,384

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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.