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Finding the Fourth Proportional to 196,843.77, 295,268.09 and 78,446.07

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Solution

The fourth proportional to 196,843.77, 295,268.09 and 78,446.07 is: 117,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,843.77 : 295,268.09 = 78,446.07 : x
  2. Step 2: Convert to fraction form
    196,843.77/295,268.09 = 78,446.07/x
  3. Step 3: Cross multiply
    196,843.77x = 295,268.09 × 78,446.07
  4. Step 4: Simplify right side
    196,843.77x = 23,162,620,864.68
  5. Step 5: Solve for x
    x = 23,162,620,864.68/196,843.77
  6. Step 6: Final answer
    x = 117,670.07

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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.