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Finding the Fourth Proportional to 84,647.43, 127,029.57 and 29,243.43

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Solution

The fourth proportional to 84,647.43, 127,029.57 and 29,243.43 is: 43,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,647.43 : 127,029.57 = 29,243.43 : x
  2. Step 2: Convert to fraction form
    84,647.43/127,029.57 = 29,243.43/x
  3. Step 3: Cross multiply
    84,647.43x = 127,029.57 × 29,243.43
  4. Step 4: Simplify right side
    84,647.43x = 3,714,780,338.23
  5. Step 5: Solve for x
    x = 3,714,780,338.23/84,647.43
  6. Step 6: Final answer
    x = 43,885.33

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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.