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Finding the Fourth Proportional to 81,659.88, 122,412.06 and 26,217

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Solution

The fourth proportional to 81,659.88, 122,412.06 and 26,217 is: 39,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,659.88 : 122,412.06 = 26,217 : x
  2. Step 2: Convert to fraction form
    81,659.88/122,412.06 = 26,217/x
  3. Step 3: Cross multiply
    81,659.88x = 122,412.06 × 26,217
  4. Step 4: Simplify right side
    81,659.88x = 3,209,276,977.02
  5. Step 5: Solve for x
    x = 3,209,276,977.02/81,659.88
  6. Step 6: Final answer
    x = 39,300.54

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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.