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Finding the Fourth Proportional to 138,819.68, 208,230.06 and 33,638.48

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Solution

The fourth proportional to 138,819.68, 208,230.06 and 33,638.48 is: 50,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,819.68 : 208,230.06 = 33,638.48 : x
  2. Step 2: Convert to fraction form
    138,819.68/208,230.06 = 33,638.48/x
  3. Step 3: Cross multiply
    138,819.68x = 208,230.06 × 33,638.48
  4. Step 4: Simplify right side
    138,819.68x = 7,004,542,708.71
  5. Step 5: Solve for x
    x = 7,004,542,708.71/138,819.68
  6. Step 6: Final answer
    x = 50,457.85

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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.