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Finding the Fourth Proportional to 213,847.40, 320,847.90 and 89,226.60

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Solution

The fourth proportional to 213,847.40, 320,847.90 and 89,226.60 is: 133,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,847.40 : 320,847.90 = 89,226.60 : x
  2. Step 2: Convert to fraction form
    213,847.40/320,847.90 = 89,226.60/x
  3. Step 3: Cross multiply
    213,847.40x = 320,847.90 × 89,226.60
  4. Step 4: Simplify right side
    213,847.40x = 28,628,167,234.14
  5. Step 5: Solve for x
    x = 28,628,167,234.14/213,847.40
  6. Step 6: Final answer
    x = 133,871.94

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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.