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Finding the Fourth Proportional to 199,958.37, 300,013.31 and 120,052.14

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Solution

The fourth proportional to 199,958.37, 300,013.31 and 120,052.14 is: 180,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,958.37 : 300,013.31 = 120,052.14 : x
  2. Step 2: Convert to fraction form
    199,958.37/300,013.31 = 120,052.14/x
  3. Step 3: Cross multiply
    199,958.37x = 300,013.31 × 120,052.14
  4. Step 4: Simplify right side
    199,958.37x = 36,017,239,893.98
  5. Step 5: Solve for x
    x = 36,017,239,893.98/199,958.37
  6. Step 6: Final answer
    x = 180,123.69

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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.