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Finding the Fourth Proportional to 255,910.35, 383,894.33 and 78,415.95

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Solution

The fourth proportional to 255,910.35, 383,894.33 and 78,415.95 is: 117,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,910.35 : 383,894.33 = 78,415.95 : x
  2. Step 2: Convert to fraction form
    255,910.35/383,894.33 = 78,415.95/x
  3. Step 3: Cross multiply
    255,910.35x = 383,894.33 × 78,415.95
  4. Step 4: Simplify right side
    255,910.35x = 30,103,438,194.48
  5. Step 5: Solve for x
    x = 30,103,438,194.48/255,910.35
  6. Step 6: Final answer
    x = 117,632.75

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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.