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Finding the Fourth Proportional to 85,647.72, 118,194 and 47,922

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Solution

The fourth proportional to 85,647.72, 118,194 and 47,922 is: 66,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,647.72 : 118,194 = 47,922 : x
  2. Step 2: Convert to fraction form
    85,647.72/118,194 = 47,922/x
  3. Step 3: Cross multiply
    85,647.72x = 118,194 × 47,922
  4. Step 4: Simplify right side
    85,647.72x = 5,664,092,868
  5. Step 5: Solve for x
    x = 5,664,092,868/85,647.72
  6. Step 6: Final answer
    x = 66,132.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.