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Finding the Fourth Proportional to 196,348, 270,950.52 and 119,778.70

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Solution

The fourth proportional to 196,348, 270,950.52 and 119,778.70 is: 165,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,348 : 270,950.52 = 119,778.70 : x
  2. Step 2: Convert to fraction form
    196,348/270,950.52 = 119,778.70/x
  3. Step 3: Cross multiply
    196,348x = 270,950.52 × 119,778.70
  4. Step 4: Simplify right side
    196,348x = 32,454,101,049.92
  5. Step 5: Solve for x
    x = 32,454,101,049.92/196,348
  6. Step 6: Final answer
    x = 165,288.68

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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.