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Finding the Fourth Proportional to 208,495.85, 312,625.29 and 82,067.60

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Solution

The fourth proportional to 208,495.85, 312,625.29 and 82,067.60 is: 123,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,495.85 : 312,625.29 = 82,067.60 : x
  2. Step 2: Convert to fraction form
    208,495.85/312,625.29 = 82,067.60/x
  3. Step 3: Cross multiply
    208,495.85x = 312,625.29 × 82,067.60
  4. Step 4: Simplify right side
    208,495.85x = 25,656,408,031.17
  5. Step 5: Solve for x
    x = 25,656,408,031.17/208,495.85
  6. Step 6: Final answer
    x = 123,054.76

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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.