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Finding the Fourth Proportional to 205,249.52, 283,291.56 and 120,393.92

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Solution

The fourth proportional to 205,249.52, 283,291.56 and 120,393.92 is: 166,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,249.52 : 283,291.56 = 120,393.92 : x
  2. Step 2: Convert to fraction form
    205,249.52/283,291.56 = 120,393.92/x
  3. Step 3: Cross multiply
    205,249.52x = 283,291.56 × 120,393.92
  4. Step 4: Simplify right side
    205,249.52x = 34,106,581,411.32
  5. Step 5: Solve for x
    x = 34,106,581,411.32/205,249.52
  6. Step 6: Final answer
    x = 166,171.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.