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Finding the Fourth Proportional to 258,906.94, 357,288.69 and 144,183.08

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Solution

The fourth proportional to 258,906.94, 357,288.69 and 144,183.08 is: 198,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,906.94 : 357,288.69 = 144,183.08 : x
  2. Step 2: Convert to fraction form
    258,906.94/357,288.69 = 144,183.08/x
  3. Step 3: Cross multiply
    258,906.94x = 357,288.69 × 144,183.08
  4. Step 4: Simplify right side
    258,906.94x = 51,514,981,986.92
  5. Step 5: Solve for x
    x = 51,514,981,986.92/258,906.94
  6. Step 6: Final answer
    x = 198,971.04

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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.