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Finding the Fourth Proportional to 70,867.78, 106,241.32 and 31,403.37

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Solution

The fourth proportional to 70,867.78, 106,241.32 and 31,403.37 is: 47,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,867.78 : 106,241.32 = 31,403.37 : x
  2. Step 2: Convert to fraction form
    70,867.78/106,241.32 = 31,403.37/x
  3. Step 3: Cross multiply
    70,867.78x = 106,241.32 × 31,403.37
  4. Step 4: Simplify right side
    70,867.78x = 3,336,335,481.25
  5. Step 5: Solve for x
    x = 3,336,335,481.25/70,867.78
  6. Step 6: Final answer
    x = 47,078.31

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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.