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Finding the Fourth Proportional to 201,310.78, 301,778.44 and 68,098.35

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Solution

The fourth proportional to 201,310.78, 301,778.44 and 68,098.35 is: 102,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,310.78 : 301,778.44 = 68,098.35 : x
  2. Step 2: Convert to fraction form
    201,310.78/301,778.44 = 68,098.35/x
  3. Step 3: Cross multiply
    201,310.78x = 301,778.44 × 68,098.35
  4. Step 4: Simplify right side
    201,310.78x = 20,550,613,829.57
  5. Step 5: Solve for x
    x = 20,550,613,829.57/201,310.78
  6. Step 6: Final answer
    x = 102,084.02

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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.