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Finding the Fourth Proportional to 54,177.66, 81,270.14 and 20,898

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Solution

The fourth proportional to 54,177.66, 81,270.14 and 20,898 is: 31,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,177.66 : 81,270.14 = 20,898 : x
  2. Step 2: Convert to fraction form
    54,177.66/81,270.14 = 20,898/x
  3. Step 3: Cross multiply
    54,177.66x = 81,270.14 × 20,898
  4. Step 4: Simplify right side
    54,177.66x = 1,698,383,281.23
  5. Step 5: Solve for x
    x = 1,698,383,281.23/54,177.66
  6. Step 6: Final answer
    x = 31,348.41

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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.