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Finding the Fourth Proportional to 132,546.44, 182,912.66 and 78,830.28

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Solution

The fourth proportional to 132,546.44, 182,912.66 and 78,830.28 is: 108,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,546.44 : 182,912.66 = 78,830.28 : x
  2. Step 2: Convert to fraction form
    132,546.44/182,912.66 = 78,830.28/x
  3. Step 3: Cross multiply
    132,546.44x = 182,912.66 × 78,830.28
  4. Step 4: Simplify right side
    132,546.44x = 14,419,056,203.34
  5. Step 5: Solve for x
    x = 14,419,056,203.34/132,546.44
  6. Step 6: Final answer
    x = 108,784.94

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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.