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Finding the Fourth Proportional to 216,172.65, 298,287.41 and 120,677.25

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Solution

The fourth proportional to 216,172.65, 298,287.41 and 120,677.25 is: 166,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,172.65 : 298,287.41 = 120,677.25 : x
  2. Step 2: Convert to fraction form
    216,172.65/298,287.41 = 120,677.25/x
  3. Step 3: Cross multiply
    216,172.65x = 298,287.41 × 120,677.25
  4. Step 4: Simplify right side
    216,172.65x = 35,996,503,745.04
  5. Step 5: Solve for x
    x = 35,996,503,745.04/216,172.65
  6. Step 6: Final answer
    x = 166,517.38

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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.