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Finding the Fourth Proportional to 201,098.30, 301,756.80 and 82,781.60

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Solution

The fourth proportional to 201,098.30, 301,756.80 and 82,781.60 is: 124,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.30 : 301,756.80 = 82,781.60 : x
  2. Step 2: Convert to fraction form
    201,098.30/301,756.80 = 82,781.60/x
  3. Step 3: Cross multiply
    201,098.30x = 301,756.80 × 82,781.60
  4. Step 4: Simplify right side
    201,098.30x = 24,979,910,714.88
  5. Step 5: Solve for x
    x = 24,979,910,714.88/201,098.30
  6. Step 6: Final answer
    x = 124,217.41

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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.