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Finding the Fourth Proportional to 188,265, 259,828.74 and 108,777

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Solution

The fourth proportional to 188,265, 259,828.74 and 108,777 is: 150,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,265 : 259,828.74 = 108,777 : x
  2. Step 2: Convert to fraction form
    188,265/259,828.74 = 108,777/x
  3. Step 3: Cross multiply
    188,265x = 259,828.74 × 108,777
  4. Step 4: Simplify right side
    188,265x = 28,263,390,850.98
  5. Step 5: Solve for x
    x = 28,263,390,850.98/188,265
  6. Step 6: Final answer
    x = 150,125.57

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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.