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Finding the Fourth Proportional to 61,644.09, 85,064 and 37,767.52

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Solution

The fourth proportional to 61,644.09, 85,064 and 37,767.52 is: 52,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,644.09 : 85,064 = 37,767.52 : x
  2. Step 2: Convert to fraction form
    61,644.09/85,064 = 37,767.52/x
  3. Step 3: Cross multiply
    61,644.09x = 85,064 × 37,767.52
  4. Step 4: Simplify right side
    61,644.09x = 3,212,656,321.28
  5. Step 5: Solve for x
    x = 3,212,656,321.28/61,644.09
  6. Step 6: Final answer
    x = 52,116.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.