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Finding the Fourth Proportional to 84,053.92, 126,085.20 and 21,724.96

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Solution

The fourth proportional to 84,053.92, 126,085.20 and 21,724.96 is: 32,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,053.92 : 126,085.20 = 21,724.96 : x
  2. Step 2: Convert to fraction form
    84,053.92/126,085.20 = 21,724.96/x
  3. Step 3: Cross multiply
    84,053.92x = 126,085.20 × 21,724.96
  4. Step 4: Simplify right side
    84,053.92x = 2,739,195,926.59
  5. Step 5: Solve for x
    x = 2,739,195,926.59/84,053.92
  6. Step 6: Final answer
    x = 32,588.56

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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.