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Finding the Fourth Proportional to 84,005.50, 126,010.68 and 21,676

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Solution

The fourth proportional to 84,005.50, 126,010.68 and 21,676 is: 32,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,005.50 : 126,010.68 = 21,676 : x
  2. Step 2: Convert to fraction form
    84,005.50/126,010.68 = 21,676/x
  3. Step 3: Cross multiply
    84,005.50x = 126,010.68 × 21,676
  4. Step 4: Simplify right side
    84,005.50x = 2,731,407,499.68
  5. Step 5: Solve for x
    x = 2,731,407,499.68/84,005.50
  6. Step 6: Final answer
    x = 32,514.63

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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.