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Finding the Fourth Proportional to 54,854.44, 82,285.50 and 27,145

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Solution

The fourth proportional to 54,854.44, 82,285.50 and 27,145 is: 40,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,854.44 : 82,285.50 = 27,145 : x
  2. Step 2: Convert to fraction form
    54,854.44/82,285.50 = 27,145/x
  3. Step 3: Cross multiply
    54,854.44x = 82,285.50 × 27,145
  4. Step 4: Simplify right side
    54,854.44x = 2,233,639,897.50
  5. Step 5: Solve for x
    x = 2,233,639,897.50/54,854.44
  6. Step 6: Final answer
    x = 40,719.40

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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.