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Finding the Fourth Proportional to 109,753.34, 164,361.31 and 90,661.16

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Solution

The fourth proportional to 109,753.34, 164,361.31 and 90,661.16 is: 135,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,753.34 : 164,361.31 = 90,661.16 : x
  2. Step 2: Convert to fraction form
    109,753.34/164,361.31 = 90,661.16/x
  3. Step 3: Cross multiply
    109,753.34x = 164,361.31 × 90,661.16
  4. Step 4: Simplify right side
    109,753.34x = 14,901,187,207.97
  5. Step 5: Solve for x
    x = 14,901,187,207.97/109,753.34
  6. Step 6: Final answer
    x = 135,769.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.