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Finding the Fourth Proportional to 255,724.80, 383,553.60 and 78,249.60

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Solution

The fourth proportional to 255,724.80, 383,553.60 and 78,249.60 is: 117,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,724.80 : 383,553.60 = 78,249.60 : x
  2. Step 2: Convert to fraction form
    255,724.80/383,553.60 = 78,249.60/x
  3. Step 3: Cross multiply
    255,724.80x = 383,553.60 × 78,249.60
  4. Step 4: Simplify right side
    255,724.80x = 30,012,915,778.56
  5. Step 5: Solve for x
    x = 30,012,915,778.56/255,724.80
  6. Step 6: Final answer
    x = 117,364.12

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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.