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Finding the Fourth Proportional to 135,906.30, 203,729.85 and 105,903.90

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Solution

The fourth proportional to 135,906.30, 203,729.85 and 105,903.90 is: 158,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,906.30 : 203,729.85 = 105,903.90 : x
  2. Step 2: Convert to fraction form
    135,906.30/203,729.85 = 105,903.90/x
  3. Step 3: Cross multiply
    135,906.30x = 203,729.85 × 105,903.90
  4. Step 4: Simplify right side
    135,906.30x = 21,575,785,661.42
  5. Step 5: Solve for x
    x = 21,575,785,661.42/135,906.30
  6. Step 6: Final answer
    x = 158,754.86

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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.