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Finding the Fourth Proportional to 102,894.57, 154,344.60 and 28,015.38

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Solution

The fourth proportional to 102,894.57, 154,344.60 and 28,015.38 is: 42,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,894.57 : 154,344.60 = 28,015.38 : x
  2. Step 2: Convert to fraction form
    102,894.57/154,344.60 = 28,015.38/x
  3. Step 3: Cross multiply
    102,894.57x = 154,344.60 × 28,015.38
  4. Step 4: Simplify right side
    102,894.57x = 4,324,022,619.95
  5. Step 5: Solve for x
    x = 4,324,022,619.95/102,894.57
  6. Step 6: Final answer
    x = 42,023.82

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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.