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Finding the Fourth Proportional to 72,987.75, 109,481.63 and 17,583.75

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Solution

The fourth proportional to 72,987.75, 109,481.63 and 17,583.75 is: 26,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987.75 : 109,481.63 = 17,583.75 : x
  2. Step 2: Convert to fraction form
    72,987.75/109,481.63 = 17,583.75/x
  3. Step 3: Cross multiply
    72,987.75x = 109,481.63 × 17,583.75
  4. Step 4: Simplify right side
    72,987.75x = 1,925,097,523.59
  5. Step 5: Solve for x
    x = 1,925,097,523.59/72,987.75
  6. Step 6: Final answer
    x = 26,375.63

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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.