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Finding the Fourth Proportional to 198,668.84, 274,155.50 and 108,021.67

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Solution

The fourth proportional to 198,668.84, 274,155.50 and 108,021.67 is: 149,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,668.84 : 274,155.50 = 108,021.67 : x
  2. Step 2: Convert to fraction form
    198,668.84/274,155.50 = 108,021.67/x
  3. Step 3: Cross multiply
    198,668.84x = 274,155.50 × 108,021.67
  4. Step 4: Simplify right side
    198,668.84x = 29,614,734,534.35
  5. Step 5: Solve for x
    x = 29,614,734,534.35/198,668.84
  6. Step 6: Final answer
    x = 149,065.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.