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Finding the Fourth Proportional to 198,889.86, 298,305.15 and 65,770.82

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Solution

The fourth proportional to 198,889.86, 298,305.15 and 65,770.82 is: 98,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,889.86 : 298,305.15 = 65,770.82 : x
  2. Step 2: Convert to fraction form
    198,889.86/298,305.15 = 65,770.82/x
  3. Step 3: Cross multiply
    198,889.86x = 298,305.15 × 65,770.82
  4. Step 4: Simplify right side
    198,889.86x = 19,619,772,834.20
  5. Step 5: Solve for x
    x = 19,619,772,834.20/198,889.86
  6. Step 6: Final answer
    x = 98,646.42

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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.