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Finding the Fourth Proportional to 205,164.98, 283,174.91 and 120,309.38

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Solution

The fourth proportional to 205,164.98, 283,174.91 and 120,309.38 is: 166,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,164.98 : 283,174.91 = 120,309.38 : x
  2. Step 2: Convert to fraction form
    205,164.98/283,174.91 = 120,309.38/x
  3. Step 3: Cross multiply
    205,164.98x = 283,174.91 × 120,309.38
  4. Step 4: Simplify right side
    205,164.98x = 34,068,597,853.66
  5. Step 5: Solve for x
    x = 34,068,597,853.66/205,164.98
  6. Step 6: Final answer
    x = 166,054.64

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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.