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Finding the Fourth Proportional to 113,850, 170,775 and 30,744

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Solution

The fourth proportional to 113,850, 170,775 and 30,744 is: 46,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,850 : 170,775 = 30,744 : x
  2. Step 2: Convert to fraction form
    113,850/170,775 = 30,744/x
  3. Step 3: Cross multiply
    113,850x = 170,775 × 30,744
  4. Step 4: Simplify right side
    113,850x = 5,250,306,600
  5. Step 5: Solve for x
    x = 5,250,306,600/113,850
  6. Step 6: Final answer
    x = 46,116

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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.