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Finding the Fourth Proportional to 66,408.44, 91,643.72 and 36,193.79

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Solution

The fourth proportional to 66,408.44, 91,643.72 and 36,193.79 is: 49,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,408.44 : 91,643.72 = 36,193.79 : x
  2. Step 2: Convert to fraction form
    66,408.44/91,643.72 = 36,193.79/x
  3. Step 3: Cross multiply
    66,408.44x = 91,643.72 × 36,193.79
  4. Step 4: Simplify right side
    66,408.44x = 3,316,932,917.31
  5. Step 5: Solve for x
    x = 3,316,932,917.31/66,408.44
  6. Step 6: Final answer
    x = 49,947.46

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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.