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Finding the Fourth Proportional to 70,778.39, 106,118.37 and 31,313.97

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Solution

The fourth proportional to 70,778.39, 106,118.37 and 31,313.97 is: 46,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,778.39 : 106,118.37 = 31,313.97 : x
  2. Step 2: Convert to fraction form
    70,778.39/106,118.37 = 31,313.97/x
  3. Step 3: Cross multiply
    70,778.39x = 106,118.37 × 31,313.97
  4. Step 4: Simplify right side
    70,778.39x = 3,322,987,454.63
  5. Step 5: Solve for x
    x = 3,322,987,454.63/70,778.39
  6. Step 6: Final answer
    x = 46,949.18

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1.5x scale

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.