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Finding the Fourth Proportional to 200,068.36, 300,102.82 and 81,739.80

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Solution

The fourth proportional to 200,068.36, 300,102.82 and 81,739.80 is: 122,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,068.36 : 300,102.82 = 81,739.80 : x
  2. Step 2: Convert to fraction form
    200,068.36/300,102.82 = 81,739.80/x
  3. Step 3: Cross multiply
    200,068.36x = 300,102.82 × 81,739.80
  4. Step 4: Simplify right side
    200,068.36x = 24,530,344,486.24
  5. Step 5: Solve for x
    x = 24,530,344,486.24/200,068.36
  6. Step 6: Final answer
    x = 122,609.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.