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Finding the Fourth Proportional to 78,245.80, 117,317.40 and 44,512.54

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Solution

The fourth proportional to 78,245.80, 117,317.40 and 44,512.54 is: 66,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,245.80 : 117,317.40 = 44,512.54 : x
  2. Step 2: Convert to fraction form
    78,245.80/117,317.40 = 44,512.54/x
  3. Step 3: Cross multiply
    78,245.80x = 117,317.40 × 44,512.54
  4. Step 4: Simplify right side
    78,245.80x = 5,222,095,460.20
  5. Step 5: Solve for x
    x = 5,222,095,460.20/78,245.80
  6. Step 6: Final answer
    x = 66,739.63

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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.