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Finding the Fourth Proportional to 54,108, 81,162.32 and 14,662.24

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Solution

The fourth proportional to 54,108, 81,162.32 and 14,662.24 is: 21,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,108 : 81,162.32 = 14,662.24 : x
  2. Step 2: Convert to fraction form
    54,108/81,162.32 = 14,662.24/x
  3. Step 3: Cross multiply
    54,108x = 81,162.32 × 14,662.24
  4. Step 4: Simplify right side
    54,108x = 1,190,021,414.80
  5. Step 5: Solve for x
    x = 1,190,021,414.80/54,108
  6. Step 6: Final answer
    x = 21,993.45

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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.