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Finding the Fourth Proportional to 135,958.32, 203,706.90 and 83,257.56

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Solution

The fourth proportional to 135,958.32, 203,706.90 and 83,257.56 is: 124,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,958.32 : 203,706.90 = 83,257.56 : x
  2. Step 2: Convert to fraction form
    135,958.32/203,706.90 = 83,257.56/x
  3. Step 3: Cross multiply
    135,958.32x = 203,706.90 × 83,257.56
  4. Step 4: Simplify right side
    135,958.32x = 16,960,139,449.16
  5. Step 5: Solve for x
    x = 16,960,139,449.16/135,958.32
  6. Step 6: Final answer
    x = 124,745.14

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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.