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Finding the Fourth Proportional to 117,189.75, 161,724.99 and 71,841.60

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Solution

The fourth proportional to 117,189.75, 161,724.99 and 71,841.60 is: 99,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,189.75 : 161,724.99 = 71,841.60 : x
  2. Step 2: Convert to fraction form
    117,189.75/161,724.99 = 71,841.60/x
  3. Step 3: Cross multiply
    117,189.75x = 161,724.99 × 71,841.60
  4. Step 4: Simplify right side
    117,189.75x = 11,618,582,041.58
  5. Step 5: Solve for x
    x = 11,618,582,041.58/117,189.75
  6. Step 6: Final answer
    x = 99,143.33

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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.