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Finding the Fourth Proportional to 105,850, 158,775 and 31,978

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Solution

The fourth proportional to 105,850, 158,775 and 31,978 is: 47,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,850 : 158,775 = 31,978 : x
  2. Step 2: Convert to fraction form
    105,850/158,775 = 31,978/x
  3. Step 3: Cross multiply
    105,850x = 158,775 × 31,978
  4. Step 4: Simplify right side
    105,850x = 5,077,306,950
  5. Step 5: Solve for x
    x = 5,077,306,950/105,850
  6. Step 6: Final answer
    x = 47,967

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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.