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Finding the Fourth Proportional to 118,321, 177,481.50 and 30,769

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Solution

The fourth proportional to 118,321, 177,481.50 and 30,769 is: 46,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,321 : 177,481.50 = 30,769 : x
  2. Step 2: Convert to fraction form
    118,321/177,481.50 = 30,769/x
  3. Step 3: Cross multiply
    118,321x = 177,481.50 × 30,769
  4. Step 4: Simplify right side
    118,321x = 5,460,928,273.50
  5. Step 5: Solve for x
    x = 5,460,928,273.50/118,321
  6. Step 6: Final answer
    x = 46,153.50

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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.