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Finding the Fourth Proportional to 216,453.30, 298,704.69 and 120,959.97

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Solution

The fourth proportional to 216,453.30, 298,704.69 and 120,959.97 is: 166,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,453.30 : 298,704.69 = 120,959.97 : x
  2. Step 2: Convert to fraction form
    216,453.30/298,704.69 = 120,959.97/x
  3. Step 3: Cross multiply
    216,453.30x = 298,704.69 × 120,959.97
  4. Step 4: Simplify right side
    216,453.30x = 36,131,310,341.26
  5. Step 5: Solve for x
    x = 36,131,310,341.26/216,453.30
  6. Step 6: Final answer
    x = 166,924.28

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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.