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Finding the Fourth Proportional to 102,942.20, 154,425.74 and 36,368.70

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Solution

The fourth proportional to 102,942.20, 154,425.74 and 36,368.70 is: 54,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942.20 : 154,425.74 = 36,368.70 : x
  2. Step 2: Convert to fraction form
    102,942.20/154,425.74 = 36,368.70/x
  3. Step 3: Cross multiply
    102,942.20x = 154,425.74 × 36,368.70
  4. Step 4: Simplify right side
    102,942.20x = 5,616,263,410.34
  5. Step 5: Solve for x
    x = 5,616,263,410.34/102,942.20
  6. Step 6: Final answer
    x = 54,557.44

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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.