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Finding the Fourth Proportional to 54,662.32, 81,941.19 and 21,371.32

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Solution

The fourth proportional to 54,662.32, 81,941.19 and 21,371.32 is: 32,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,662.32 : 81,941.19 = 21,371.32 : x
  2. Step 2: Convert to fraction form
    54,662.32/81,941.19 = 21,371.32/x
  3. Step 3: Cross multiply
    54,662.32x = 81,941.19 × 21,371.32
  4. Step 4: Simplify right side
    54,662.32x = 1,751,191,392.67
  5. Step 5: Solve for x
    x = 1,751,191,392.67/54,662.32
  6. Step 6: Final answer
    x = 32,036.54

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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.