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Finding the Fourth Proportional to 113,775, 170,662.50 and 30,669

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Solution

The fourth proportional to 113,775, 170,662.50 and 30,669 is: 46,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,775 : 170,662.50 = 30,669 : x
  2. Step 2: Convert to fraction form
    113,775/170,662.50 = 30,669/x
  3. Step 3: Cross multiply
    113,775x = 170,662.50 × 30,669
  4. Step 4: Simplify right side
    113,775x = 5,234,048,212.50
  5. Step 5: Solve for x
    x = 5,234,048,212.50/113,775
  6. Step 6: Final answer
    x = 46,003.50

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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.