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Finding the Fourth Proportional to 54,073, 81,109.50 and 17,137

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Solution

The fourth proportional to 54,073, 81,109.50 and 17,137 is: 25,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,073 : 81,109.50 = 17,137 : x
  2. Step 2: Convert to fraction form
    54,073/81,109.50 = 17,137/x
  3. Step 3: Cross multiply
    54,073x = 81,109.50 × 17,137
  4. Step 4: Simplify right side
    54,073x = 1,389,973,501.50
  5. Step 5: Solve for x
    x = 1,389,973,501.50/54,073
  6. Step 6: Final answer
    x = 25,705.50

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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.