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Finding the Fourth Proportional to 100,380.25, 138,536.32 and 60,094

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Solution

The fourth proportional to 100,380.25, 138,536.32 and 60,094 is: 82,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,380.25 : 138,536.32 = 60,094 : x
  2. Step 2: Convert to fraction form
    100,380.25/138,536.32 = 60,094/x
  3. Step 3: Cross multiply
    100,380.25x = 138,536.32 × 60,094
  4. Step 4: Simplify right side
    100,380.25x = 8,325,201,614.08
  5. Step 5: Solve for x
    x = 8,325,201,614.08/100,380.25
  6. Step 6: Final answer
    x = 82,936.65

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