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Finding the Fourth Proportional to 68,771.50, 103,157.60 and 31,305.37

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Solution

The fourth proportional to 68,771.50, 103,157.60 and 31,305.37 is: 46,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,771.50 : 103,157.60 = 31,305.37 : x
  2. Step 2: Convert to fraction form
    68,771.50/103,157.60 = 31,305.37/x
  3. Step 3: Cross multiply
    68,771.50x = 103,157.60 × 31,305.37
  4. Step 4: Simplify right side
    68,771.50x = 3,229,386,573.81
  5. Step 5: Solve for x
    x = 3,229,386,573.81/68,771.50
  6. Step 6: Final answer
    x = 46,958.21

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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.