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Finding the Fourth Proportional to 84,222, 126,290.70 and 28,042.26

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Solution

The fourth proportional to 84,222, 126,290.70 and 28,042.26 is: 42,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,222 : 126,290.70 = 28,042.26 : x
  2. Step 2: Convert to fraction form
    84,222/126,290.70 = 28,042.26/x
  3. Step 3: Cross multiply
    84,222x = 126,290.70 × 28,042.26
  4. Step 4: Simplify right side
    84,222x = 3,541,476,644.98
  5. Step 5: Solve for x
    x = 3,541,476,644.98/84,222
  6. Step 6: Final answer
    x = 42,049.31

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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.