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Finding the Fourth Proportional to 90,096.32, 135,134.88 and 27,760

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Solution

The fourth proportional to 90,096.32, 135,134.88 and 27,760 is: 41,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,096.32 : 135,134.88 = 27,760 : x
  2. Step 2: Convert to fraction form
    90,096.32/135,134.88 = 27,760/x
  3. Step 3: Cross multiply
    90,096.32x = 135,134.88 × 27,760
  4. Step 4: Simplify right side
    90,096.32x = 3,751,344,268.80
  5. Step 5: Solve for x
    x = 3,751,344,268.80/90,096.32
  6. Step 6: Final answer
    x = 41,637.04

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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.