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Finding the Fourth Proportional to 198,162.09, 297,243.15 and 65,006.61

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Solution

The fourth proportional to 198,162.09, 297,243.15 and 65,006.61 is: 97,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,162.09 : 297,243.15 = 65,006.61 : x
  2. Step 2: Convert to fraction form
    198,162.09/297,243.15 = 65,006.61/x
  3. Step 3: Cross multiply
    198,162.09x = 297,243.15 × 65,006.61
  4. Step 4: Simplify right side
    198,162.09x = 19,322,769,527.22
  5. Step 5: Solve for x
    x = 19,322,769,527.22/198,162.09
  6. Step 6: Final answer
    x = 97,509.92

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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.