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Finding the Fourth Proportional to 242,873.82, 335,165.22 and 135,443.97

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Solution

The fourth proportional to 242,873.82, 335,165.22 and 135,443.97 is: 186,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,873.82 : 335,165.22 = 135,443.97 : x
  2. Step 2: Convert to fraction form
    242,873.82/335,165.22 = 135,443.97/x
  3. Step 3: Cross multiply
    242,873.82x = 335,165.22 × 135,443.97
  4. Step 4: Simplify right side
    242,873.82x = 45,396,108,002.72
  5. Step 5: Solve for x
    x = 45,396,108,002.72/242,873.82
  6. Step 6: Final answer
    x = 186,912.32

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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.