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Finding the Fourth Proportional to 54,090, 81,147.96 and 17,154

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Solution

The fourth proportional to 54,090, 81,147.96 and 17,154 is: 25,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,090 : 81,147.96 = 17,154 : x
  2. Step 2: Convert to fraction form
    54,090/81,147.96 = 17,154/x
  3. Step 3: Cross multiply
    54,090x = 81,147.96 × 17,154
  4. Step 4: Simplify right side
    54,090x = 1,392,012,105.84
  5. Step 5: Solve for x
    x = 1,392,012,105.84/54,090
  6. Step 6: Final answer
    x = 25,735.11

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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.