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Finding the Fourth Proportional to 209,429.94, 289,072.74 and 123,438.90

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Solution

The fourth proportional to 209,429.94, 289,072.74 and 123,438.90 is: 170,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,429.94 : 289,072.74 = 123,438.90 : x
  2. Step 2: Convert to fraction form
    209,429.94/289,072.74 = 123,438.90/x
  3. Step 3: Cross multiply
    209,429.94x = 289,072.74 × 123,438.90
  4. Step 4: Simplify right side
    209,429.94x = 35,682,821,045.59
  5. Step 5: Solve for x
    x = 35,682,821,045.59/209,429.94
  6. Step 6: Final answer
    x = 170,380.71

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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.