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Finding the Fourth Proportional to 81,833.65, 122,750.48 and 25,682.42

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Solution

The fourth proportional to 81,833.65, 122,750.48 and 25,682.42 is: 38,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,833.65 : 122,750.48 = 25,682.42 : x
  2. Step 2: Convert to fraction form
    81,833.65/122,750.48 = 25,682.42/x
  3. Step 3: Cross multiply
    81,833.65x = 122,750.48 × 25,682.42
  4. Step 4: Simplify right side
    81,833.65x = 3,152,529,753.64
  5. Step 5: Solve for x
    x = 3,152,529,753.64/81,833.65
  6. Step 6: Final answer
    x = 38,523.64

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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.