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Finding the Fourth Proportional to 48,122, 66,408.36 and 31,383.44

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Solution

The fourth proportional to 48,122, 66,408.36 and 31,383.44 is: 43,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122 : 66,408.36 = 31,383.44 : x
  2. Step 2: Convert to fraction form
    48,122/66,408.36 = 31,383.44/x
  3. Step 3: Cross multiply
    48,122x = 66,408.36 × 31,383.44
  4. Step 4: Simplify right side
    48,122x = 2,084,122,781.56
  5. Step 5: Solve for x
    x = 2,084,122,781.56/48,122
  6. Step 6: Final answer
    x = 43,309.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.