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Finding the Fourth Proportional to 199,206.38, 274,904.80 and 109,782.38

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Solution

The fourth proportional to 199,206.38, 274,904.80 and 109,782.38 is: 151,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,206.38 : 274,904.80 = 109,782.38 : x
  2. Step 2: Convert to fraction form
    199,206.38/274,904.80 = 109,782.38/x
  3. Step 3: Cross multiply
    199,206.38x = 274,904.80 × 109,782.38
  4. Step 4: Simplify right side
    199,206.38x = 30,179,701,568.44
  5. Step 5: Solve for x
    x = 30,179,701,568.44/199,206.38
  6. Step 6: Final answer
    x = 151,499.68

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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.