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Finding the Fourth Proportional to 255,695.26, 383,481.39 and 78,203.83

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Solution

The fourth proportional to 255,695.26, 383,481.39 and 78,203.83 is: 117,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,695.26 : 383,481.39 = 78,203.83 : x
  2. Step 2: Convert to fraction form
    255,695.26/383,481.39 = 78,203.83/x
  3. Step 3: Cross multiply
    255,695.26x = 383,481.39 × 78,203.83
  4. Step 4: Simplify right side
    255,695.26x = 29,989,713,431.72
  5. Step 5: Solve for x
    x = 29,989,713,431.72/255,695.26
  6. Step 6: Final answer
    x = 117,286.94

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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.