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Finding the Fourth Proportional to 188,274.25, 259,810.68 and 102,229.86

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Solution

The fourth proportional to 188,274.25, 259,810.68 and 102,229.86 is: 141,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,274.25 : 259,810.68 = 102,229.86 : x
  2. Step 2: Convert to fraction form
    188,274.25/259,810.68 = 102,229.86/x
  3. Step 3: Cross multiply
    188,274.25x = 259,810.68 × 102,229.86
  4. Step 4: Simplify right side
    188,274.25x = 26,560,408,143.85
  5. Step 5: Solve for x
    x = 26,560,408,143.85/188,274.25
  6. Step 6: Final answer
    x = 141,072.98

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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.