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Finding the Fourth Proportional to 227,317.12, 313,675.68 and 131,830

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Solution

The fourth proportional to 227,317.12, 313,675.68 and 131,830 is: 181,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,317.12 : 313,675.68 = 131,830 : x
  2. Step 2: Convert to fraction form
    227,317.12/313,675.68 = 131,830/x
  3. Step 3: Cross multiply
    227,317.12x = 313,675.68 × 131,830
  4. Step 4: Simplify right side
    227,317.12x = 41,351,864,894.40
  5. Step 5: Solve for x
    x = 41,351,864,894.40/227,317.12
  6. Step 6: Final answer
    x = 181,912.67

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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.