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Finding the Fourth Proportional to 81,673.88, 122,433.06 and 26,231

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Solution

The fourth proportional to 81,673.88, 122,433.06 and 26,231 is: 39,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,673.88 : 122,433.06 = 26,231 : x
  2. Step 2: Convert to fraction form
    81,673.88/122,433.06 = 26,231/x
  3. Step 3: Cross multiply
    81,673.88x = 122,433.06 × 26,231
  4. Step 4: Simplify right side
    81,673.88x = 3,211,541,596.86
  5. Step 5: Solve for x
    x = 3,211,541,596.86/81,673.88
  6. Step 6: Final answer
    x = 39,321.53

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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.