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Finding the Fourth Proportional to 208,299.88, 312,450.27 and 75,274.09

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Solution

The fourth proportional to 208,299.88, 312,450.27 and 75,274.09 is: 112,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,299.88 : 312,450.27 = 75,274.09 : x
  2. Step 2: Convert to fraction form
    208,299.88/312,450.27 = 75,274.09/x
  3. Step 3: Cross multiply
    208,299.88x = 312,450.27 × 75,274.09
  4. Step 4: Simplify right side
    208,299.88x = 23,519,408,963.38
  5. Step 5: Solve for x
    x = 23,519,408,963.38/208,299.88
  6. Step 6: Final answer
    x = 112,911.30

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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.