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Finding the Fourth Proportional to 188,285.91, 259,839.86 and 103,408.44

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Solution

The fourth proportional to 188,285.91, 259,839.86 and 103,408.44 is: 142,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,285.91 : 259,839.86 = 103,408.44 : x
  2. Step 2: Convert to fraction form
    188,285.91/259,839.86 = 103,408.44/x
  3. Step 3: Cross multiply
    188,285.91x = 259,839.86 × 103,408.44
  4. Step 4: Simplify right side
    188,285.91x = 26,869,634,572.42
  5. Step 5: Solve for x
    x = 26,869,634,572.42/188,285.91
  6. Step 6: Final answer
    x = 142,706.56

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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.