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Finding the Fourth Proportional to 227,212.80, 313,554.72 and 130,408.80

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Solution

The fourth proportional to 227,212.80, 313,554.72 and 130,408.80 is: 179,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,212.80 : 313,554.72 = 130,408.80 : x
  2. Step 2: Convert to fraction form
    227,212.80/313,554.72 = 130,408.80/x
  3. Step 3: Cross multiply
    227,212.80x = 313,554.72 × 130,408.80
  4. Step 4: Simplify right side
    227,212.80x = 40,890,294,769.54
  5. Step 5: Solve for x
    x = 40,890,294,769.54/227,212.80
  6. Step 6: Final answer
    x = 179,964.75

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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.