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Finding the Fourth Proportional to 208,081.84, 311,991.60 and 114,653.20

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Solution

The fourth proportional to 208,081.84, 311,991.60 and 114,653.20 is: 171,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,081.84 : 311,991.60 = 114,653.20 : x
  2. Step 2: Convert to fraction form
    208,081.84/311,991.60 = 114,653.20/x
  3. Step 3: Cross multiply
    208,081.84x = 311,991.60 × 114,653.20
  4. Step 4: Simplify right side
    208,081.84x = 35,770,835,313.12
  5. Step 5: Solve for x
    x = 35,770,835,313.12/208,081.84
  6. Step 6: Final answer
    x = 171,907.53

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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.