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Finding the Fourth Proportional to 82,147.91, 113,311.91 and 53,855.42

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Solution

The fourth proportional to 82,147.91, 113,311.91 and 53,855.42 is: 74,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,147.91 : 113,311.91 = 53,855.42 : x
  2. Step 2: Convert to fraction form
    82,147.91/113,311.91 = 53,855.42/x
  3. Step 3: Cross multiply
    82,147.91x = 113,311.91 × 53,855.42
  4. Step 4: Simplify right side
    82,147.91x = 6,102,460,072.13
  5. Step 5: Solve for x
    x = 6,102,460,072.13/82,147.91
  6. Step 6: Final answer
    x = 74,286.25

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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.