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Finding the Fourth Proportional to 81,796.42, 122,751.13 and 53,729.92

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Solution

The fourth proportional to 81,796.42, 122,751.13 and 53,729.92 is: 80,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796.42 : 122,751.13 = 53,729.92 : x
  2. Step 2: Convert to fraction form
    81,796.42/122,751.13 = 53,729.92/x
  3. Step 3: Cross multiply
    81,796.42x = 122,751.13 × 53,729.92
  4. Step 4: Simplify right side
    81,796.42x = 6,595,408,394.81
  5. Step 5: Solve for x
    x = 6,595,408,394.81/81,796.42
  6. Step 6: Final answer
    x = 80,631.99

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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.