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Finding the Fourth Proportional to 54,658.88, 81,999.84 and 17,720

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Solution

The fourth proportional to 54,658.88, 81,999.84 and 17,720 is: 26,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.88 : 81,999.84 = 17,720 : x
  2. Step 2: Convert to fraction form
    54,658.88/81,999.84 = 17,720/x
  3. Step 3: Cross multiply
    54,658.88x = 81,999.84 × 17,720
  4. Step 4: Simplify right side
    54,658.88x = 1,453,037,164.80
  5. Step 5: Solve for x
    x = 1,453,037,164.80/54,658.88
  6. Step 6: Final answer
    x = 26,583.73

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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.