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Finding the Fourth Proportional to 105,866, 158,799 and 31,994

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Solution

The fourth proportional to 105,866, 158,799 and 31,994 is: 47,991

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,866 : 158,799 = 31,994 : x
  2. Step 2: Convert to fraction form
    105,866/158,799 = 31,994/x
  3. Step 3: Cross multiply
    105,866x = 158,799 × 31,994
  4. Step 4: Simplify right side
    105,866x = 5,080,615,206
  5. Step 5: Solve for x
    x = 5,080,615,206/105,866
  6. Step 6: Final answer
    x = 47,991

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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.