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Finding the Fourth Proportional to 69,770.43, 104,655.69 and 57,408.48

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Solution

The fourth proportional to 69,770.43, 104,655.69 and 57,408.48 is: 86,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,770.43 : 104,655.69 = 57,408.48 : x
  2. Step 2: Convert to fraction form
    69,770.43/104,655.69 = 57,408.48/x
  3. Step 3: Cross multiply
    69,770.43x = 104,655.69 × 57,408.48
  4. Step 4: Simplify right side
    69,770.43x = 6,008,124,086.25
  5. Step 5: Solve for x
    x = 6,008,124,086.25/69,770.43
  6. Step 6: Final answer
    x = 86,112.76

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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.