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Finding the Fourth Proportional to 68,781.75, 103,201.78 and 37,580.55

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Solution

The fourth proportional to 68,781.75, 103,201.78 and 37,580.55 is: 56,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,781.75 : 103,201.78 = 37,580.55 : x
  2. Step 2: Convert to fraction form
    68,781.75/103,201.78 = 37,580.55/x
  3. Step 3: Cross multiply
    68,781.75x = 103,201.78 × 37,580.55
  4. Step 4: Simplify right side
    68,781.75x = 3,878,379,653.38
  5. Step 5: Solve for x
    x = 3,878,379,653.38/68,781.75
  6. Step 6: Final answer
    x = 56,386.75

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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.