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Finding the Fourth Proportional to 135,606.22, 203,414.19 and 56,611.78

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Solution

The fourth proportional to 135,606.22, 203,414.19 and 56,611.78 is: 84,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,606.22 : 203,414.19 = 56,611.78 : x
  2. Step 2: Convert to fraction form
    135,606.22/203,414.19 = 56,611.78/x
  3. Step 3: Cross multiply
    135,606.22x = 203,414.19 × 56,611.78
  4. Step 4: Simplify right side
    135,606.22x = 11,515,639,373.16
  5. Step 5: Solve for x
    x = 11,515,639,373.16/135,606.22
  6. Step 6: Final answer
    x = 84,919.70

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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.