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Finding the Fourth Proportional to 208,806.24, 312,999.12 and 120,033.12

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Solution

The fourth proportional to 208,806.24, 312,999.12 and 120,033.12 is: 179,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,806.24 : 312,999.12 = 120,033.12 : x
  2. Step 2: Convert to fraction form
    208,806.24/312,999.12 = 120,033.12/x
  3. Step 3: Cross multiply
    208,806.24x = 312,999.12 × 120,033.12
  4. Step 4: Simplify right side
    208,806.24x = 37,570,260,930.85
  5. Step 5: Solve for x
    x = 37,570,260,930.85/208,806.24
  6. Step 6: Final answer
    x = 179,928.82

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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.