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Finding the Fourth Proportional to 135,428.98, 203,221.26 and 105,763.54

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Solution

The fourth proportional to 135,428.98, 203,221.26 and 105,763.54 is: 158,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,428.98 : 203,221.26 = 105,763.54 : x
  2. Step 2: Convert to fraction form
    135,428.98/203,221.26 = 105,763.54/x
  3. Step 3: Cross multiply
    135,428.98x = 203,221.26 × 105,763.54
  4. Step 4: Simplify right side
    135,428.98x = 21,493,399,860.86
  5. Step 5: Solve for x
    x = 21,493,399,860.86/135,428.98
  6. Step 6: Final answer
    x = 158,706.06

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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.