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Finding the Fourth Proportional to 188,262, 259,824.60 and 108,774

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Solution

The fourth proportional to 188,262, 259,824.60 and 108,774 is: 150,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,262 : 259,824.60 = 108,774 : x
  2. Step 2: Convert to fraction form
    188,262/259,824.60 = 108,774/x
  3. Step 3: Cross multiply
    188,262x = 259,824.60 × 108,774
  4. Step 4: Simplify right side
    188,262x = 28,262,161,040.40
  5. Step 5: Solve for x
    x = 28,262,161,040.40/188,262
  6. Step 6: Final answer
    x = 150,121.43

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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.