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Finding the Fourth Proportional to 216,464.57, 298,716.14 and 120,980.15

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Solution

The fourth proportional to 216,464.57, 298,716.14 and 120,980.15 is: 166,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,464.57 : 298,716.14 = 120,980.15 : x
  2. Step 2: Convert to fraction form
    216,464.57/298,716.14 = 120,980.15/x
  3. Step 3: Cross multiply
    216,464.57x = 298,716.14 × 120,980.15
  4. Step 4: Simplify right side
    216,464.57x = 36,138,723,424.62
  5. Step 5: Solve for x
    x = 36,138,723,424.62/216,464.57
  6. Step 6: Final answer
    x = 166,949.83

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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.