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Finding the Fourth Proportional to 54,505.20, 81,709.20 and 21,214.20

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Solution

The fourth proportional to 54,505.20, 81,709.20 and 21,214.20 is: 31,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,505.20 : 81,709.20 = 21,214.20 : x
  2. Step 2: Convert to fraction form
    54,505.20/81,709.20 = 21,214.20/x
  3. Step 3: Cross multiply
    54,505.20x = 81,709.20 × 21,214.20
  4. Step 4: Simplify right side
    54,505.20x = 1,733,395,310.64
  5. Step 5: Solve for x
    x = 1,733,395,310.64/54,505.20
  6. Step 6: Final answer
    x = 31,802.38

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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.