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Finding the Fourth Proportional to 100,682.36, 138,941.75 and 55,361.10

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Solution

The fourth proportional to 100,682.36, 138,941.75 and 55,361.10 is: 76,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682.36 : 138,941.75 = 55,361.10 : x
  2. Step 2: Convert to fraction form
    100,682.36/138,941.75 = 55,361.10/x
  3. Step 3: Cross multiply
    100,682.36x = 138,941.75 × 55,361.10
  4. Step 4: Simplify right side
    100,682.36x = 7,691,968,115.93
  5. Step 5: Solve for x
    x = 7,691,968,115.93/100,682.36
  6. Step 6: Final answer
    x = 76,398.37

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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.