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Finding the Fourth Proportional to 105,868, 158,802 and 31,996

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Solution

The fourth proportional to 105,868, 158,802 and 31,996 is: 47,994

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,868 : 158,802 = 31,996 : x
  2. Step 2: Convert to fraction form
    105,868/158,802 = 31,996/x
  3. Step 3: Cross multiply
    105,868x = 158,802 × 31,996
  4. Step 4: Simplify right side
    105,868x = 5,081,028,792
  5. Step 5: Solve for x
    x = 5,081,028,792/105,868
  6. Step 6: Final answer
    x = 47,994

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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.