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Finding the Fourth Proportional to 105,867, 158,800.50 and 31,995

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Solution

The fourth proportional to 105,867, 158,800.50 and 31,995 is: 47,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,867 : 158,800.50 = 31,995 : x
  2. Step 2: Convert to fraction form
    105,867/158,800.50 = 31,995/x
  3. Step 3: Cross multiply
    105,867x = 158,800.50 × 31,995
  4. Step 4: Simplify right side
    105,867x = 5,080,821,997.50
  5. Step 5: Solve for x
    x = 5,080,821,997.50/105,867
  6. Step 6: Final answer
    x = 47,992.50

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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.