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Finding the Fourth Proportional to 255,540.56, 383,297.04 and 78,033.78

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Solution

The fourth proportional to 255,540.56, 383,297.04 and 78,033.78 is: 117,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,540.56 : 383,297.04 = 78,033.78 : x
  2. Step 2: Convert to fraction form
    255,540.56/383,297.04 = 78,033.78/x
  3. Step 3: Cross multiply
    255,540.56x = 383,297.04 × 78,033.78
  4. Step 4: Simplify right side
    255,540.56x = 29,910,116,894.01
  5. Step 5: Solve for x
    x = 29,910,116,894.01/255,540.56
  6. Step 6: Final answer
    x = 117,046.46

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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.