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Finding the Fourth Proportional to 64,842.68, 89,481.11 and 36,163.21

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Solution

The fourth proportional to 64,842.68, 89,481.11 and 36,163.21 is: 49,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,842.68 : 89,481.11 = 36,163.21 : x
  2. Step 2: Convert to fraction form
    64,842.68/89,481.11 = 36,163.21/x
  3. Step 3: Cross multiply
    64,842.68x = 89,481.11 × 36,163.21
  4. Step 4: Simplify right side
    64,842.68x = 3,235,924,171.96
  5. Step 5: Solve for x
    x = 3,235,924,171.96/64,842.68
  6. Step 6: Final answer
    x = 49,904.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.