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Finding the Fourth Proportional to 165,181.60, 227,943.84 and 89,728.48

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Solution

The fourth proportional to 165,181.60, 227,943.84 and 89,728.48 is: 123,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,181.60 : 227,943.84 = 89,728.48 : x
  2. Step 2: Convert to fraction form
    165,181.60/227,943.84 = 89,728.48/x
  3. Step 3: Cross multiply
    165,181.60x = 227,943.84 × 89,728.48
  4. Step 4: Simplify right side
    165,181.60x = 20,453,054,288.56
  5. Step 5: Solve for x
    x = 20,453,054,288.56/165,181.60
  6. Step 6: Final answer
    x = 123,821.63

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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.