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Finding the Fourth Proportional to 222,975.70, 307,704.90 and 120,998.56

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Solution

The fourth proportional to 222,975.70, 307,704.90 and 120,998.56 is: 166,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,975.70 : 307,704.90 = 120,998.56 : x
  2. Step 2: Convert to fraction form
    222,975.70/307,704.90 = 120,998.56/x
  3. Step 3: Cross multiply
    222,975.70x = 307,704.90 × 120,998.56
  4. Step 4: Simplify right side
    222,975.70x = 37,231,849,804.94
  5. Step 5: Solve for x
    x = 37,231,849,804.94/222,975.70
  6. Step 6: Final answer
    x = 166,977.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.