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Finding the Fourth Proportional to 54,732.56, 82,078.68 and 19,662.80

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Solution

The fourth proportional to 54,732.56, 82,078.68 and 19,662.80 is: 29,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,732.56 : 82,078.68 = 19,662.80 : x
  2. Step 2: Convert to fraction form
    54,732.56/82,078.68 = 19,662.80/x
  3. Step 3: Cross multiply
    54,732.56x = 82,078.68 × 19,662.80
  4. Step 4: Simplify right side
    54,732.56x = 1,613,896,669.10
  5. Step 5: Solve for x
    x = 1,613,896,669.10/54,732.56
  6. Step 6: Final answer
    x = 29,486.96

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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.