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Finding the Fourth Proportional to 178,170.80, 245,896.44 and 102,722

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Solution

The fourth proportional to 178,170.80, 245,896.44 and 102,722 is: 141,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,170.80 : 245,896.44 = 102,722 : x
  2. Step 2: Convert to fraction form
    178,170.80/245,896.44 = 102,722/x
  3. Step 3: Cross multiply
    178,170.80x = 245,896.44 × 102,722
  4. Step 4: Simplify right side
    178,170.80x = 25,258,974,109.68
  5. Step 5: Solve for x
    x = 25,258,974,109.68/178,170.80
  6. Step 6: Final answer
    x = 141,768.32

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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.