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Finding the Fourth Proportional to 255,902.16, 383,689 and 106,245.75

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Solution

The fourth proportional to 255,902.16, 383,689 and 106,245.75 is: 159,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.16 : 383,689 = 106,245.75 : x
  2. Step 2: Convert to fraction form
    255,902.16/383,689 = 106,245.75/x
  3. Step 3: Cross multiply
    255,902.16x = 383,689 × 106,245.75
  4. Step 4: Simplify right side
    255,902.16x = 40,765,325,571.75
  5. Step 5: Solve for x
    x = 40,765,325,571.75/255,902.16
  6. Step 6: Final answer
    x = 159,300.44

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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.