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Finding the Fourth Proportional to 208,979.82, 313,522.74 and 96,741

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Solution

The fourth proportional to 208,979.82, 313,522.74 and 96,741 is: 145,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,979.82 : 313,522.74 = 96,741 : x
  2. Step 2: Convert to fraction form
    208,979.82/313,522.74 = 96,741/x
  3. Step 3: Cross multiply
    208,979.82x = 313,522.74 × 96,741
  4. Step 4: Simplify right side
    208,979.82x = 30,330,503,390.34
  5. Step 5: Solve for x
    x = 30,330,503,390.34/208,979.82
  6. Step 6: Final answer
    x = 145,136.04

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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.