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Finding the Fourth Proportional to 90,540.66, 135,811.02 and 34,380.82

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Solution

The fourth proportional to 90,540.66, 135,811.02 and 34,380.82 is: 51,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,540.66 : 135,811.02 = 34,380.82 : x
  2. Step 2: Convert to fraction form
    90,540.66/135,811.02 = 34,380.82/x
  3. Step 3: Cross multiply
    90,540.66x = 135,811.02 × 34,380.82
  4. Step 4: Simplify right side
    90,540.66x = 4,669,294,232.64
  5. Step 5: Solve for x
    x = 4,669,294,232.64/90,540.66
  6. Step 6: Final answer
    x = 51,571.24

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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.