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Finding the Fourth Proportional to 193,357, 290,049.47 and 80,924.08

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Solution

The fourth proportional to 193,357, 290,049.47 and 80,924.08 is: 121,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,357 : 290,049.47 = 80,924.08 : x
  2. Step 2: Convert to fraction form
    193,357/290,049.47 = 80,924.08/x
  3. Step 3: Cross multiply
    193,357x = 290,049.47 × 80,924.08
  4. Step 4: Simplify right side
    193,357x = 23,471,986,514.24
  5. Step 5: Solve for x
    x = 23,471,986,514.24/193,357
  6. Step 6: Final answer
    x = 121,391.97

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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.