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Finding the Fourth Proportional to 105,086, 157,629 and 31,214

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Solution

The fourth proportional to 105,086, 157,629 and 31,214 is: 46,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,086 : 157,629 = 31,214 : x
  2. Step 2: Convert to fraction form
    105,086/157,629 = 31,214/x
  3. Step 3: Cross multiply
    105,086x = 157,629 × 31,214
  4. Step 4: Simplify right side
    105,086x = 4,920,231,606
  5. Step 5: Solve for x
    x = 4,920,231,606/105,086
  6. Step 6: Final answer
    x = 46,821

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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.