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Finding the Fourth Proportional to 255,906.78, 383,846.32 and 78,414.31

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Solution

The fourth proportional to 255,906.78, 383,846.32 and 78,414.31 is: 117,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906.78 : 383,846.32 = 78,414.31 : x
  2. Step 2: Convert to fraction form
    255,906.78/383,846.32 = 78,414.31/x
  3. Step 3: Cross multiply
    255,906.78x = 383,846.32 × 78,414.31
  4. Step 4: Simplify right side
    255,906.78x = 30,099,044,328.84
  5. Step 5: Solve for x
    x = 30,099,044,328.84/255,906.78
  6. Step 6: Final answer
    x = 117,617.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.