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Finding the Fourth Proportional to 228,850.38, 315,723.42 and 142,759.26

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Solution

The fourth proportional to 228,850.38, 315,723.42 and 142,759.26 is: 196,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,850.38 : 315,723.42 = 142,759.26 : x
  2. Step 2: Convert to fraction form
    228,850.38/315,723.42 = 142,759.26/x
  3. Step 3: Cross multiply
    228,850.38x = 315,723.42 × 142,759.26
  4. Step 4: Simplify right side
    228,850.38x = 45,072,441,803.87
  5. Step 5: Solve for x
    x = 45,072,441,803.87/228,850.38
  6. Step 6: Final answer
    x = 196,951.57

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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.