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Finding the Fourth Proportional to 51,191.44, 76,755.48 and 19,990

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Solution

The fourth proportional to 51,191.44, 76,755.48 and 19,990 is: 29,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,191.44 : 76,755.48 = 19,990 : x
  2. Step 2: Convert to fraction form
    51,191.44/76,755.48 = 19,990/x
  3. Step 3: Cross multiply
    51,191.44x = 76,755.48 × 19,990
  4. Step 4: Simplify right side
    51,191.44x = 1,534,342,045.20
  5. Step 5: Solve for x
    x = 1,534,342,045.20/51,191.44
  6. Step 6: Final answer
    x = 29,972.63

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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.