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Finding the Fourth Proportional to 286,120.96, 394,842 and 158,801.92

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Solution

The fourth proportional to 286,120.96, 394,842 and 158,801.92 is: 219,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,120.96 : 394,842 = 158,801.92 : x
  2. Step 2: Convert to fraction form
    286,120.96/394,842 = 158,801.92/x
  3. Step 3: Cross multiply
    286,120.96x = 394,842 × 158,801.92
  4. Step 4: Simplify right side
    286,120.96x = 62,701,667,696.64
  5. Step 5: Solve for x
    x = 62,701,667,696.64/286,120.96
  6. Step 6: Final answer
    x = 219,143.92

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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.