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Finding the Fourth Proportional to 209,354.23, 313,912.41 and 142,874.89

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Solution

The fourth proportional to 209,354.23, 313,912.41 and 142,874.89 is: 214,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,354.23 : 313,912.41 = 142,874.89 : x
  2. Step 2: Convert to fraction form
    209,354.23/313,912.41 = 142,874.89/x
  3. Step 3: Cross multiply
    209,354.23x = 313,912.41 × 142,874.89
  4. Step 4: Simplify right side
    209,354.23x = 44,850,201,048.38
  5. Step 5: Solve for x
    x = 44,850,201,048.38/209,354.23
  6. Step 6: Final answer
    x = 214,231.17

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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.