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Finding the Fourth Proportional to 286,129.36, 394,851 and 158,801.68

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Solution

The fourth proportional to 286,129.36, 394,851 and 158,801.68 is: 219,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,129.36 : 394,851 = 158,801.68 : x
  2. Step 2: Convert to fraction form
    286,129.36/394,851 = 158,801.68/x
  3. Step 3: Cross multiply
    286,129.36x = 394,851 × 158,801.68
  4. Step 4: Simplify right side
    286,129.36x = 62,703,002,149.68
  5. Step 5: Solve for x
    x = 62,703,002,149.68/286,129.36
  6. Step 6: Final answer
    x = 219,142.15

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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.