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Finding the Fourth Proportional to 102,906.40, 154,359.60 and 78,023.20

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Solution

The fourth proportional to 102,906.40, 154,359.60 and 78,023.20 is: 117,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.40 : 154,359.60 = 78,023.20 : x
  2. Step 2: Convert to fraction form
    102,906.40/154,359.60 = 78,023.20/x
  3. Step 3: Cross multiply
    102,906.40x = 154,359.60 × 78,023.20
  4. Step 4: Simplify right side
    102,906.40x = 12,043,629,942.72
  5. Step 5: Solve for x
    x = 12,043,629,942.72/102,906.40
  6. Step 6: Final answer
    x = 117,034.80

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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.