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Finding the Fourth Proportional to 135,914.70, 203,872.05 and 47,138.70

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Solution

The fourth proportional to 135,914.70, 203,872.05 and 47,138.70 is: 70,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,914.70 : 203,872.05 = 47,138.70 : x
  2. Step 2: Convert to fraction form
    135,914.70/203,872.05 = 47,138.70/x
  3. Step 3: Cross multiply
    135,914.70x = 203,872.05 × 47,138.70
  4. Step 4: Simplify right side
    135,914.70x = 9,610,263,403.34
  5. Step 5: Solve for x
    x = 9,610,263,403.34/135,914.70
  6. Step 6: Final answer
    x = 70,708.05

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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.