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Finding the Fourth Proportional to 213,823.56, 320,806.58 and 71,682.88

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Solution

The fourth proportional to 213,823.56, 320,806.58 and 71,682.88 is: 107,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,823.56 : 320,806.58 = 71,682.88 : x
  2. Step 2: Convert to fraction form
    213,823.56/320,806.58 = 71,682.88/x
  3. Step 3: Cross multiply
    213,823.56x = 320,806.58 × 71,682.88
  4. Step 4: Simplify right side
    213,823.56x = 22,996,339,577.35
  5. Step 5: Solve for x
    x = 22,996,339,577.35/213,823.56
  6. Step 6: Final answer
    x = 107,548.20

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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.