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Finding the Fourth Proportional to 105,027, 157,540.50 and 27,203

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Solution

The fourth proportional to 105,027, 157,540.50 and 27,203 is: 40,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027 : 157,540.50 = 27,203 : x
  2. Step 2: Convert to fraction form
    105,027/157,540.50 = 27,203/x
  3. Step 3: Cross multiply
    105,027x = 157,540.50 × 27,203
  4. Step 4: Simplify right side
    105,027x = 4,285,574,221.50
  5. Step 5: Solve for x
    x = 4,285,574,221.50/105,027
  6. Step 6: Final answer
    x = 40,804.50

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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.