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Finding the Fourth Proportional to 102,906.38, 154,362.24 and 28,028.03

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Solution

The fourth proportional to 102,906.38, 154,362.24 and 28,028.03 is: 42,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.38 : 154,362.24 = 28,028.03 : x
  2. Step 2: Convert to fraction form
    102,906.38/154,362.24 = 28,028.03/x
  3. Step 3: Cross multiply
    102,906.38x = 154,362.24 × 28,028.03
  4. Step 4: Simplify right side
    102,906.38x = 4,326,468,721.78
  5. Step 5: Solve for x
    x = 4,326,468,721.78/102,906.38
  6. Step 6: Final answer
    x = 42,042.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.