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Finding the Fourth Proportional to 75,768, 104,604.69 and 67,361.28

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Solution

The fourth proportional to 75,768, 104,604.69 and 67,361.28 is: 92,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768 : 104,604.69 = 67,361.28 : x
  2. Step 2: Convert to fraction form
    75,768/104,604.69 = 67,361.28/x
  3. Step 3: Cross multiply
    75,768x = 104,604.69 × 67,361.28
  4. Step 4: Simplify right side
    75,768x = 7,046,305,812.40
  5. Step 5: Solve for x
    x = 7,046,305,812.40/75,768
  6. Step 6: Final answer
    x = 92,998.44

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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.