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Finding the Fourth Proportional to 117,191.75, 161,727.75 and 71,843.60

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Solution

The fourth proportional to 117,191.75, 161,727.75 and 71,843.60 is: 99,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,191.75 : 161,727.75 = 71,843.60 : x
  2. Step 2: Convert to fraction form
    117,191.75/161,727.75 = 71,843.60/x
  3. Step 3: Cross multiply
    117,191.75x = 161,727.75 × 71,843.60
  4. Step 4: Simplify right side
    117,191.75x = 11,619,103,779.90
  5. Step 5: Solve for x
    x = 11,619,103,779.90/117,191.75
  6. Step 6: Final answer
    x = 99,146.09

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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.