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Finding the Fourth Proportional to 200,091.26, 300,137.40 and 81,762.58

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Solution

The fourth proportional to 200,091.26, 300,137.40 and 81,762.58 is: 122,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,091.26 : 300,137.40 = 81,762.58 : x
  2. Step 2: Convert to fraction form
    200,091.26/300,137.40 = 81,762.58/x
  3. Step 3: Cross multiply
    200,091.26x = 300,137.40 × 81,762.58
  4. Step 4: Simplify right side
    200,091.26x = 24,540,008,178.49
  5. Step 5: Solve for x
    x = 24,540,008,178.49/200,091.26
  6. Step 6: Final answer
    x = 122,644.08

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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.