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Finding the Fourth Proportional to 255,606.16, 383,112.96 and 120,755.20

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Solution

The fourth proportional to 255,606.16, 383,112.96 and 120,755.20 is: 180,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,606.16 : 383,112.96 = 120,755.20 : x
  2. Step 2: Convert to fraction form
    255,606.16/383,112.96 = 120,755.20/x
  3. Step 3: Cross multiply
    255,606.16x = 383,112.96 × 120,755.20
  4. Step 4: Simplify right side
    255,606.16x = 46,262,882,107.39
  5. Step 5: Solve for x
    x = 46,262,882,107.39/255,606.16
  6. Step 6: Final answer
    x = 180,992.83

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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.