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Finding the Fourth Proportional to 70,546.86, 105,736.86 and 31,021.29

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Solution

The fourth proportional to 70,546.86, 105,736.86 and 31,021.29 is: 46,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,546.86 : 105,736.86 = 31,021.29 : x
  2. Step 2: Convert to fraction form
    70,546.86/105,736.86 = 31,021.29/x
  3. Step 3: Cross multiply
    70,546.86x = 105,736.86 × 31,021.29
  4. Step 4: Simplify right side
    70,546.86x = 3,280,093,797.75
  5. Step 5: Solve for x
    x = 3,280,093,797.75/70,546.86
  6. Step 6: Final answer
    x = 46,495.25

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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.