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Finding the Fourth Proportional to 81,649.96, 122,419.24 and 41,570.44

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Solution

The fourth proportional to 81,649.96, 122,419.24 and 41,570.44 is: 62,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649.96 : 122,419.24 = 41,570.44 : x
  2. Step 2: Convert to fraction form
    81,649.96/122,419.24 = 41,570.44/x
  3. Step 3: Cross multiply
    81,649.96x = 122,419.24 × 41,570.44
  4. Step 4: Simplify right side
    81,649.96x = 5,089,021,671.27
  5. Step 5: Solve for x
    x = 5,089,021,671.27/81,649.96
  6. Step 6: Final answer
    x = 62,327.30

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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.