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Finding the Fourth Proportional to 64,669.46, 89,245.05 and 35,991.50

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Solution

The fourth proportional to 64,669.46, 89,245.05 and 35,991.50 is: 49,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,669.46 : 89,245.05 = 35,991.50 : x
  2. Step 2: Convert to fraction form
    64,669.46/89,245.05 = 35,991.50/x
  3. Step 3: Cross multiply
    64,669.46x = 89,245.05 × 35,991.50
  4. Step 4: Simplify right side
    64,669.46x = 3,212,063,217.08
  5. Step 5: Solve for x
    x = 3,212,063,217.08/64,669.46
  6. Step 6: Final answer
    x = 49,668.94

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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.