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Finding the Fourth Proportional to 198,633.65, 298,078.05 and 109,950.80

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Solution

The fourth proportional to 198,633.65, 298,078.05 and 109,950.80 is: 164,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,633.65 : 298,078.05 = 109,950.80 : x
  2. Step 2: Convert to fraction form
    198,633.65/298,078.05 = 109,950.80/x
  3. Step 3: Cross multiply
    198,633.65x = 298,078.05 × 109,950.80
  4. Step 4: Simplify right side
    198,633.65x = 32,773,920,059.94
  5. Step 5: Solve for x
    x = 32,773,920,059.94/198,633.65
  6. Step 6: Final answer
    x = 164,996.82

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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.