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Finding the Fourth Proportional to 54,143.20, 81,214.80 and 41,021.20

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Solution

The fourth proportional to 54,143.20, 81,214.80 and 41,021.20 is: 61,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,143.20 : 81,214.80 = 41,021.20 : x
  2. Step 2: Convert to fraction form
    54,143.20/81,214.80 = 41,021.20/x
  3. Step 3: Cross multiply
    54,143.20x = 81,214.80 × 41,021.20
  4. Step 4: Simplify right side
    54,143.20x = 3,331,528,553.76
  5. Step 5: Solve for x
    x = 3,331,528,553.76/54,143.20
  6. Step 6: Final answer
    x = 61,531.80

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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.