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Finding the Fourth Proportional to 196,843.58, 295,122.33 and 78,479.42

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Solution

The fourth proportional to 196,843.58, 295,122.33 and 78,479.42 is: 117,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,843.58 : 295,122.33 = 78,479.42 : x
  2. Step 2: Convert to fraction form
    196,843.58/295,122.33 = 78,479.42/x
  3. Step 3: Cross multiply
    196,843.58x = 295,122.33 × 78,479.42
  4. Step 4: Simplify right side
    196,843.58x = 23,161,029,287.45
  5. Step 5: Solve for x
    x = 23,161,029,287.45/196,843.58
  6. Step 6: Final answer
    x = 117,662.10

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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.