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Finding the Fourth Proportional to 117,723, 176,584.50 and 30,171

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Solution

The fourth proportional to 117,723, 176,584.50 and 30,171 is: 45,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,723 : 176,584.50 = 30,171 : x
  2. Step 2: Convert to fraction form
    117,723/176,584.50 = 30,171/x
  3. Step 3: Cross multiply
    117,723x = 176,584.50 × 30,171
  4. Step 4: Simplify right side
    117,723x = 5,327,730,949.50
  5. Step 5: Solve for x
    x = 5,327,730,949.50/117,723
  6. Step 6: Final answer
    x = 45,256.50

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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.