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Finding the Fourth Proportional to 54,720, 82,090.80 and 17,285.85

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Solution

The fourth proportional to 54,720, 82,090.80 and 17,285.85 is: 25,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720 : 82,090.80 = 17,285.85 : x
  2. Step 2: Convert to fraction form
    54,720/82,090.80 = 17,285.85/x
  3. Step 3: Cross multiply
    54,720x = 82,090.80 × 17,285.85
  4. Step 4: Simplify right side
    54,720x = 1,419,009,255.18
  5. Step 5: Solve for x
    x = 1,419,009,255.18/54,720
  6. Step 6: Final answer
    x = 25,932.19

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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.