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Finding the Fourth Proportional to 188,146.89, 259,642.85 and 102,105.86

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Solution

The fourth proportional to 188,146.89, 259,642.85 and 102,105.86 is: 140,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,146.89 : 259,642.85 = 102,105.86 : x
  2. Step 2: Convert to fraction form
    188,146.89/259,642.85 = 102,105.86/x
  3. Step 3: Cross multiply
    188,146.89x = 259,642.85 × 102,105.86
  4. Step 4: Simplify right side
    188,146.89x = 26,511,054,683.36
  5. Step 5: Solve for x
    x = 26,511,054,683.36/188,146.89
  6. Step 6: Final answer
    x = 140,906.15

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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.