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Finding the Fourth Proportional to 216,034.36, 298,133.22 and 120,540.76

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Solution

The fourth proportional to 216,034.36, 298,133.22 and 120,540.76 is: 166,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,034.36 : 298,133.22 = 120,540.76 : x
  2. Step 2: Convert to fraction form
    216,034.36/298,133.22 = 120,540.76/x
  3. Step 3: Cross multiply
    216,034.36x = 298,133.22 × 120,540.76
  4. Step 4: Simplify right side
    216,034.36x = 35,937,204,920.05
  5. Step 5: Solve for x
    x = 35,937,204,920.05/216,034.36
  6. Step 6: Final answer
    x = 166,349.49

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