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Finding the Fourth Proportional to 208,578.24, 312,960.36 and 96,198

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Solution

The fourth proportional to 208,578.24, 312,960.36 and 96,198 is: 144,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,578.24 : 312,960.36 = 96,198 : x
  2. Step 2: Convert to fraction form
    208,578.24/312,960.36 = 96,198/x
  3. Step 3: Cross multiply
    208,578.24x = 312,960.36 × 96,198
  4. Step 4: Simplify right side
    208,578.24x = 30,106,160,711.28
  5. Step 5: Solve for x
    x = 30,106,160,711.28/208,578.24
  6. Step 6: Final answer
    x = 144,339.89

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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.