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Finding the Fourth Proportional to 198,804.41, 297,978.66 and 98,740.97

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Solution

The fourth proportional to 198,804.41, 297,978.66 and 98,740.97 is: 147,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,804.41 : 297,978.66 = 98,740.97 : x
  2. Step 2: Convert to fraction form
    198,804.41/297,978.66 = 98,740.97/x
  3. Step 3: Cross multiply
    198,804.41x = 297,978.66 × 98,740.97
  4. Step 4: Simplify right side
    198,804.41x = 29,422,701,927.70
  5. Step 5: Solve for x
    x = 29,422,701,927.70/198,804.41
  6. Step 6: Final answer
    x = 147,998.24

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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.