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Finding the Fourth Proportional to 198,699.60, 298,102.20 and 86,331.60

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Solution

The fourth proportional to 198,699.60, 298,102.20 and 86,331.60 is: 129,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,699.60 : 298,102.20 = 86,331.60 : x
  2. Step 2: Convert to fraction form
    198,699.60/298,102.20 = 86,331.60/x
  3. Step 3: Cross multiply
    198,699.60x = 298,102.20 × 86,331.60
  4. Step 4: Simplify right side
    198,699.60x = 25,735,639,889.52
  5. Step 5: Solve for x
    x = 25,735,639,889.52/198,699.60
  6. Step 6: Final answer
    x = 129,520.34

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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.