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Finding the Fourth Proportional to 213,682.70, 320,540.90 and 71,528.81

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Solution

The fourth proportional to 213,682.70, 320,540.90 and 71,528.81 is: 107,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,682.70 : 320,540.90 = 71,528.81 : x
  2. Step 2: Convert to fraction form
    213,682.70/320,540.90 = 71,528.81/x
  3. Step 3: Cross multiply
    213,682.70x = 320,540.90 × 71,528.81
  4. Step 4: Simplify right side
    213,682.70x = 22,927,907,172.98
  5. Step 5: Solve for x
    x = 22,927,907,172.98/213,682.70
  6. Step 6: Final answer
    x = 107,298.85

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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.