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Finding the Fourth Proportional to 84,786, 127,181.43 and 22,456.50

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Solution

The fourth proportional to 84,786, 127,181.43 and 22,456.50 is: 33,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,786 : 127,181.43 = 22,456.50 : x
  2. Step 2: Convert to fraction form
    84,786/127,181.43 = 22,456.50/x
  3. Step 3: Cross multiply
    84,786x = 127,181.43 × 22,456.50
  4. Step 4: Simplify right side
    84,786x = 2,856,049,782.80
  5. Step 5: Solve for x
    x = 2,856,049,782.80/84,786
  6. Step 6: Final answer
    x = 33,685.39

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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.