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Finding the Fourth Proportional to 54,518, 81,727.70 and 19,449.32

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Solution

The fourth proportional to 54,518, 81,727.70 and 19,449.32 is: 29,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,518 : 81,727.70 = 19,449.32 : x
  2. Step 2: Convert to fraction form
    54,518/81,727.70 = 19,449.32/x
  3. Step 3: Cross multiply
    54,518x = 81,727.70 × 19,449.32
  4. Step 4: Simplify right side
    54,518x = 1,589,548,190.16
  5. Step 5: Solve for x
    x = 1,589,548,190.16/54,518
  6. Step 6: Final answer
    x = 29,156.39

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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.