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Finding the Fourth Proportional to 213,169.84, 319,786.35 and 70,968.67

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Solution

The fourth proportional to 213,169.84, 319,786.35 and 70,968.67 is: 106,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,169.84 : 319,786.35 = 70,968.67 : x
  2. Step 2: Convert to fraction form
    213,169.84/319,786.35 = 70,968.67/x
  3. Step 3: Cross multiply
    213,169.84x = 319,786.35 × 70,968.67
  4. Step 4: Simplify right side
    213,169.84x = 22,694,809,989.88
  5. Step 5: Solve for x
    x = 22,694,809,989.88/213,169.84
  6. Step 6: Final answer
    x = 106,463.52

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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.