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Finding the Fourth Proportional to 54,214.48, 81,320.76 and 21,382.48

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Solution

The fourth proportional to 54,214.48, 81,320.76 and 21,382.48 is: 32,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,214.48 : 81,320.76 = 21,382.48 : x
  2. Step 2: Convert to fraction form
    54,214.48/81,320.76 = 21,382.48/x
  3. Step 3: Cross multiply
    54,214.48x = 81,320.76 × 21,382.48
  4. Step 4: Simplify right side
    54,214.48x = 1,738,839,524.28
  5. Step 5: Solve for x
    x = 1,738,839,524.28/54,214.48
  6. Step 6: Final answer
    x = 32,073.34

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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.