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Finding the Fourth Proportional to 68,819.51, 103,273.11 and 31,383.32

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Solution

The fourth proportional to 68,819.51, 103,273.11 and 31,383.32 is: 47,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,819.51 : 103,273.11 = 31,383.32 : x
  2. Step 2: Convert to fraction form
    68,819.51/103,273.11 = 31,383.32/x
  3. Step 3: Cross multiply
    68,819.51x = 103,273.11 × 31,383.32
  4. Step 4: Simplify right side
    68,819.51x = 3,241,052,542.16
  5. Step 5: Solve for x
    x = 3,241,052,542.16/68,819.51
  6. Step 6: Final answer
    x = 47,094.97

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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.