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Finding the Fourth Proportional to 54,812.40, 82,218.60 and 19,739.40

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Solution

The fourth proportional to 54,812.40, 82,218.60 and 19,739.40 is: 29,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812.40 : 82,218.60 = 19,739.40 : x
  2. Step 2: Convert to fraction form
    54,812.40/82,218.60 = 19,739.40/x
  3. Step 3: Cross multiply
    54,812.40x = 82,218.60 × 19,739.40
  4. Step 4: Simplify right side
    54,812.40x = 1,622,945,832.84
  5. Step 5: Solve for x
    x = 1,622,945,832.84/54,812.40
  6. Step 6: Final answer
    x = 29,609.10

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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.