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Finding the Fourth Proportional to 110,735.64, 165,986.82 and 55,215

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Solution

The fourth proportional to 110,735.64, 165,986.82 and 55,215 is: 82,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,735.64 : 165,986.82 = 55,215 : x
  2. Step 2: Convert to fraction form
    110,735.64/165,986.82 = 55,215/x
  3. Step 3: Cross multiply
    110,735.64x = 165,986.82 × 55,215
  4. Step 4: Simplify right side
    110,735.64x = 9,164,962,266.30
  5. Step 5: Solve for x
    x = 9,164,962,266.30/110,735.64
  6. Step 6: Final answer
    x = 82,764.34

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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.