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Finding the Fourth Proportional to 198,995.87, 274,619.52 and 108,355.65

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Solution

The fourth proportional to 198,995.87, 274,619.52 and 108,355.65 is: 149,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,995.87 : 274,619.52 = 108,355.65 : x
  2. Step 2: Convert to fraction form
    198,995.87/274,619.52 = 108,355.65/x
  3. Step 3: Cross multiply
    198,995.87x = 274,619.52 × 108,355.65
  4. Step 4: Simplify right side
    198,995.87x = 29,756,576,592.29
  5. Step 5: Solve for x
    x = 29,756,576,592.29/198,995.87
  6. Step 6: Final answer
    x = 149,533.64

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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.