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Finding the Fourth Proportional to 216,076.71, 298,186.11 and 120,583.38

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Solution

The fourth proportional to 216,076.71, 298,186.11 and 120,583.38 is: 166,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,076.71 : 298,186.11 = 120,583.38 : x
  2. Step 2: Convert to fraction form
    216,076.71/298,186.11 = 120,583.38/x
  3. Step 3: Cross multiply
    216,076.71x = 298,186.11 × 120,583.38
  4. Step 4: Simplify right side
    216,076.71x = 35,956,290,131.05
  5. Step 5: Solve for x
    x = 35,956,290,131.05/216,076.71
  6. Step 6: Final answer
    x = 166,405.21

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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.