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Finding the Fourth Proportional to 84,194.63, 126,291.63 and 21,865.13

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Solution

The fourth proportional to 84,194.63, 126,291.63 and 21,865.13 is: 32,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,194.63 : 126,291.63 = 21,865.13 : x
  2. Step 2: Convert to fraction form
    84,194.63/126,291.63 = 21,865.13/x
  3. Step 3: Cross multiply
    84,194.63x = 126,291.63 × 21,865.13
  4. Step 4: Simplify right side
    84,194.63x = 2,761,382,907.86
  5. Step 5: Solve for x
    x = 2,761,382,907.86/84,194.63
  6. Step 6: Final answer
    x = 32,797.61

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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.