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Finding the Fourth Proportional to 199,089.75, 274,743.87 and 109,665.75

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Solution

The fourth proportional to 199,089.75, 274,743.87 and 109,665.75 is: 151,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,089.75 : 274,743.87 = 109,665.75 : x
  2. Step 2: Convert to fraction form
    199,089.75/274,743.87 = 109,665.75/x
  3. Step 3: Cross multiply
    199,089.75x = 274,743.87 × 109,665.75
  4. Step 4: Simplify right side
    199,089.75x = 30,129,992,561.45
  5. Step 5: Solve for x
    x = 30,129,992,561.45/199,089.75
  6. Step 6: Final answer
    x = 151,338.74

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1.5x scale

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.