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Finding the Fourth Proportional to 216,399.67, 298,626 and 120,906.97

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Solution

The fourth proportional to 216,399.67, 298,626 and 120,906.97 is: 166,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,399.67 : 298,626 = 120,906.97 : x
  2. Step 2: Convert to fraction form
    216,399.67/298,626 = 120,906.97/x
  3. Step 3: Cross multiply
    216,399.67x = 298,626 × 120,906.97
  4. Step 4: Simplify right side
    216,399.67x = 36,105,964,823.22
  5. Step 5: Solve for x
    x = 36,105,964,823.22/216,399.67
  6. Step 6: Final answer
    x = 166,848.52

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1.5x scale

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.