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Finding the Fourth Proportional to 118,450, 177,675 and 30,898

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Solution

The fourth proportional to 118,450, 177,675 and 30,898 is: 46,347

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,450 : 177,675 = 30,898 : x
  2. Step 2: Convert to fraction form
    118,450/177,675 = 30,898/x
  3. Step 3: Cross multiply
    118,450x = 177,675 × 30,898
  4. Step 4: Simplify right side
    118,450x = 5,489,802,150
  5. Step 5: Solve for x
    x = 5,489,802,150/118,450
  6. Step 6: Final answer
    x = 46,347

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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.