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Finding the Fourth Proportional to 80,471.22, 110,999.76 and 51,828

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Solution

The fourth proportional to 80,471.22, 110,999.76 and 51,828 is: 71,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471.22 : 110,999.76 = 51,828 : x
  2. Step 2: Convert to fraction form
    80,471.22/110,999.76 = 51,828/x
  3. Step 3: Cross multiply
    80,471.22x = 110,999.76 × 51,828
  4. Step 4: Simplify right side
    80,471.22x = 5,752,895,561.28
  5. Step 5: Solve for x
    x = 5,752,895,561.28/80,471.22
  6. Step 6: Final answer
    x = 71,490.10

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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.