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Finding the Fourth Proportional to 81,383.70, 112,348.44 and 54,205.01

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Solution

The fourth proportional to 81,383.70, 112,348.44 and 54,205.01 is: 74,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,383.70 : 112,348.44 = 54,205.01 : x
  2. Step 2: Convert to fraction form
    81,383.70/112,348.44 = 54,205.01/x
  3. Step 3: Cross multiply
    81,383.70x = 112,348.44 × 54,205.01
  4. Step 4: Simplify right side
    81,383.70x = 6,089,848,938.26
  5. Step 5: Solve for x
    x = 6,089,848,938.26/81,383.70
  6. Step 6: Final answer
    x = 74,828.85

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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.