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Finding the Fourth Proportional to 286,123.86, 394,843.41 and 158,796.18

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Solution

The fourth proportional to 286,123.86, 394,843.41 and 158,796.18 is: 219,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,123.86 : 394,843.41 = 158,796.18 : x
  2. Step 2: Convert to fraction form
    286,123.86/394,843.41 = 158,796.18/x
  3. Step 3: Cross multiply
    286,123.86x = 394,843.41 × 158,796.18
  4. Step 4: Simplify right side
    286,123.86x = 62,699,625,206.17
  5. Step 5: Solve for x
    x = 62,699,625,206.17/286,123.86
  6. Step 6: Final answer
    x = 219,134.56

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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.