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Finding the Fourth Proportional to 84,119.50, 126,179.25 and 21,790

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Solution

The fourth proportional to 84,119.50, 126,179.25 and 21,790 is: 32,685

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,119.50 : 126,179.25 = 21,790 : x
  2. Step 2: Convert to fraction form
    84,119.50/126,179.25 = 21,790/x
  3. Step 3: Cross multiply
    84,119.50x = 126,179.25 × 21,790
  4. Step 4: Simplify right side
    84,119.50x = 2,749,445,857.50
  5. Step 5: Solve for x
    x = 2,749,445,857.50/84,119.50
  6. Step 6: Final answer
    x = 32,685

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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.