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Finding the Fourth Proportional to 65,997, 91,076.22 and 39,153

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Solution

The fourth proportional to 65,997, 91,076.22 and 39,153 is: 54,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,997 : 91,076.22 = 39,153 : x
  2. Step 2: Convert to fraction form
    65,997/91,076.22 = 39,153/x
  3. Step 3: Cross multiply
    65,997x = 91,076.22 × 39,153
  4. Step 4: Simplify right side
    65,997x = 3,565,907,241.66
  5. Step 5: Solve for x
    x = 3,565,907,241.66/65,997
  6. Step 6: Final answer
    x = 54,031.35

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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.