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Finding the Fourth Proportional to 81,855.44, 122,783.16 and 54,146.96

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Solution

The fourth proportional to 81,855.44, 122,783.16 and 54,146.96 is: 81,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.44 : 122,783.16 = 54,146.96 : x
  2. Step 2: Convert to fraction form
    81,855.44/122,783.16 = 54,146.96/x
  3. Step 3: Cross multiply
    81,855.44x = 122,783.16 × 54,146.96
  4. Step 4: Simplify right side
    81,855.44x = 6,648,334,853.19
  5. Step 5: Solve for x
    x = 6,648,334,853.19/81,855.44
  6. Step 6: Final answer
    x = 81,220.44

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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.