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Finding the Fourth Proportional to 209,215.56, 313,724.52 and 76,002.96

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Solution

The fourth proportional to 209,215.56, 313,724.52 and 76,002.96 is: 113,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,215.56 : 313,724.52 = 76,002.96 : x
  2. Step 2: Convert to fraction form
    209,215.56/313,724.52 = 76,002.96/x
  3. Step 3: Cross multiply
    209,215.56x = 313,724.52 × 76,002.96
  4. Step 4: Simplify right side
    209,215.56x = 23,843,992,144.58
  5. Step 5: Solve for x
    x = 23,843,992,144.58/209,215.56
  6. Step 6: Final answer
    x = 113,968.54

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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.