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Finding the Fourth Proportional to 138,994.92, 208,490.56 and 33,814

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Solution

The fourth proportional to 138,994.92, 208,490.56 and 33,814 is: 50,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,994.92 : 208,490.56 = 33,814 : x
  2. Step 2: Convert to fraction form
    138,994.92/208,490.56 = 33,814/x
  3. Step 3: Cross multiply
    138,994.92x = 208,490.56 × 33,814
  4. Step 4: Simplify right side
    138,994.92x = 7,049,899,795.84
  5. Step 5: Solve for x
    x = 7,049,899,795.84/138,994.92
  6. Step 6: Final answer
    x = 50,720.56

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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.