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Finding the Fourth Proportional to 105,650.82, 158,481.12 and 39,078.54

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Solution

The fourth proportional to 105,650.82, 158,481.12 and 39,078.54 is: 58,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,650.82 : 158,481.12 = 39,078.54 : x
  2. Step 2: Convert to fraction form
    105,650.82/158,481.12 = 39,078.54/x
  3. Step 3: Cross multiply
    105,650.82x = 158,481.12 × 39,078.54
  4. Step 4: Simplify right side
    105,650.82x = 6,193,210,787.16
  5. Step 5: Solve for x
    x = 6,193,210,787.16/105,650.82
  6. Step 6: Final answer
    x = 58,619.62

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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.