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Finding the Fourth Proportional to 198,795.72, 298,237.32 and 86,493.54

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Solution

The fourth proportional to 198,795.72, 298,237.32 and 86,493.54 is: 129,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,795.72 : 298,237.32 = 86,493.54 : x
  2. Step 2: Convert to fraction form
    198,795.72/298,237.32 = 86,493.54/x
  3. Step 3: Cross multiply
    198,795.72x = 298,237.32 × 86,493.54
  4. Step 4: Simplify right side
    198,795.72x = 25,795,601,566.91
  5. Step 5: Solve for x
    x = 25,795,601,566.91/198,795.72
  6. Step 6: Final answer
    x = 129,759.34

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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.