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Finding the Fourth Proportional to 105,864, 158,796 and 31,992

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Solution

The fourth proportional to 105,864, 158,796 and 31,992 is: 47,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864 : 158,796 = 31,992 : x
  2. Step 2: Convert to fraction form
    105,864/158,796 = 31,992/x
  3. Step 3: Cross multiply
    105,864x = 158,796 × 31,992
  4. Step 4: Simplify right side
    105,864x = 5,080,201,632
  5. Step 5: Solve for x
    x = 5,080,201,632/105,864
  6. Step 6: Final answer
    x = 47,988

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.