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Finding the Fourth Proportional to 31,978.98, 44,136.64 and 20,052.54

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Solution

The fourth proportional to 31,978.98, 44,136.64 and 20,052.54 is: 27,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.98 : 44,136.64 = 20,052.54 : x
  2. Step 2: Convert to fraction form
    31,978.98/44,136.64 = 20,052.54/x
  3. Step 3: Cross multiply
    31,978.98x = 44,136.64 × 20,052.54
  4. Step 4: Simplify right side
    31,978.98x = 885,051,739.07
  5. Step 5: Solve for x
    x = 885,051,739.07/31,978.98
  6. Step 6: Final answer
    x = 27,676.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.