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Finding the Fourth Proportional to 209,791.11, 289,506.13 and 119,150.90

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Solution

The fourth proportional to 209,791.11, 289,506.13 and 119,150.90 is: 164,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,791.11 : 289,506.13 = 119,150.90 : x
  2. Step 2: Convert to fraction form
    209,791.11/289,506.13 = 119,150.90/x
  3. Step 3: Cross multiply
    209,791.11x = 289,506.13 × 119,150.90
  4. Step 4: Simplify right side
    209,791.11x = 34,494,914,497.49
  5. Step 5: Solve for x
    x = 34,494,914,497.49/209,791.11
  6. Step 6: Final answer
    x = 164,425.05

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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.