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Finding the Fourth Proportional to 72,993, 109,489.50 and 17,589

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Solution

The fourth proportional to 72,993, 109,489.50 and 17,589 is: 26,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,993 : 109,489.50 = 17,589 : x
  2. Step 2: Convert to fraction form
    72,993/109,489.50 = 17,589/x
  3. Step 3: Cross multiply
    72,993x = 109,489.50 × 17,589
  4. Step 4: Simplify right side
    72,993x = 1,925,810,815.50
  5. Step 5: Solve for x
    x = 1,925,810,815.50/72,993
  6. Step 6: Final answer
    x = 26,383.50

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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.