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Finding the Fourth Proportional to 54,741, 82,111.50 and 17,805

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Solution

The fourth proportional to 54,741, 82,111.50 and 17,805 is: 26,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,741 : 82,111.50 = 17,805 : x
  2. Step 2: Convert to fraction form
    54,741/82,111.50 = 17,805/x
  3. Step 3: Cross multiply
    54,741x = 82,111.50 × 17,805
  4. Step 4: Simplify right side
    54,741x = 1,461,995,257.50
  5. Step 5: Solve for x
    x = 1,461,995,257.50/54,741
  6. Step 6: Final answer
    x = 26,707.50

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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.