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Finding the Fourth Proportional to 81,664.44, 122,493.78 and 26,259

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Solution

The fourth proportional to 81,664.44, 122,493.78 and 26,259 is: 39,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664.44 : 122,493.78 = 26,259 : x
  2. Step 2: Convert to fraction form
    81,664.44/122,493.78 = 26,259/x
  3. Step 3: Cross multiply
    81,664.44x = 122,493.78 × 26,259
  4. Step 4: Simplify right side
    81,664.44x = 3,216,564,169.02
  5. Step 5: Solve for x
    x = 3,216,564,169.02/81,664.44
  6. Step 6: Final answer
    x = 39,387.57

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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.