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Finding the Fourth Proportional to 85,539, 128,361.96 and 41,170.44

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Solution

The fourth proportional to 85,539, 128,361.96 and 41,170.44 is: 61,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,539 : 128,361.96 = 41,170.44 : x
  2. Step 2: Convert to fraction form
    85,539/128,361.96 = 41,170.44/x
  3. Step 3: Cross multiply
    85,539x = 128,361.96 × 41,170.44
  4. Step 4: Simplify right side
    85,539x = 5,284,718,372.46
  5. Step 5: Solve for x
    x = 5,284,718,372.46/85,539
  6. Step 6: Final answer
    x = 61,781.39

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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.