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Finding the Fourth Proportional to 178,243.71, 245,884.32 and 120,863.62

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Solution

The fourth proportional to 178,243.71, 245,884.32 and 120,863.62 is: 166,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,243.71 : 245,884.32 = 120,863.62 : x
  2. Step 2: Convert to fraction form
    178,243.71/245,884.32 = 120,863.62/x
  3. Step 3: Cross multiply
    178,243.71x = 245,884.32 × 120,863.62
  4. Step 4: Simplify right side
    178,243.71x = 29,718,469,016.44
  5. Step 5: Solve for x
    x = 29,718,469,016.44/178,243.71
  6. Step 6: Final answer
    x = 166,729.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.