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Finding the Fourth Proportional to 199,414.90, 299,034.78 and 74,668.42

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Solution

The fourth proportional to 199,414.90, 299,034.78 and 74,668.42 is: 111,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,414.90 : 299,034.78 = 74,668.42 : x
  2. Step 2: Convert to fraction form
    199,414.90/299,034.78 = 74,668.42/x
  3. Step 3: Cross multiply
    199,414.90x = 299,034.78 × 74,668.42
  4. Step 4: Simplify right side
    199,414.90x = 22,328,454,547.65
  5. Step 5: Solve for x
    x = 22,328,454,547.65/199,414.90
  6. Step 6: Final answer
    x = 111,969.84

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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.