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Finding the Fourth Proportional to 154,163.42, 231,241.53 and 71,057.42

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Solution

The fourth proportional to 154,163.42, 231,241.53 and 71,057.42 is: 106,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,163.42 : 231,241.53 = 71,057.42 : x
  2. Step 2: Convert to fraction form
    154,163.42/231,241.53 = 71,057.42/x
  3. Step 3: Cross multiply
    154,163.42x = 231,241.53 × 71,057.42
  4. Step 4: Simplify right side
    154,163.42x = 16,431,426,518.65
  5. Step 5: Solve for x
    x = 16,431,426,518.65/154,163.42
  6. Step 6: Final answer
    x = 106,584.47

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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.