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Finding the Fourth Proportional to 105,508, 158,262 and 31,636

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Solution

The fourth proportional to 105,508, 158,262 and 31,636 is: 47,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,508 : 158,262 = 31,636 : x
  2. Step 2: Convert to fraction form
    105,508/158,262 = 31,636/x
  3. Step 3: Cross multiply
    105,508x = 158,262 × 31,636
  4. Step 4: Simplify right side
    105,508x = 5,006,776,632
  5. Step 5: Solve for x
    x = 5,006,776,632/105,508
  6. Step 6: Final answer
    x = 47,454

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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.