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Finding the Fourth Proportional to 165,142.56, 227,916 and 98,074.56

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Solution

The fourth proportional to 165,142.56, 227,916 and 98,074.56 is: 135,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,142.56 : 227,916 = 98,074.56 : x
  2. Step 2: Convert to fraction form
    165,142.56/227,916 = 98,074.56/x
  3. Step 3: Cross multiply
    165,142.56x = 227,916 × 98,074.56
  4. Step 4: Simplify right side
    165,142.56x = 22,352,761,416.96
  5. Step 5: Solve for x
    x = 22,352,761,416.96/165,142.56
  6. Step 6: Final answer
    x = 135,354.34

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