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Finding the Fourth Proportional to 102,818, 154,156.73 and 54,793.84

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Solution

The fourth proportional to 102,818, 154,156.73 and 54,793.84 is: 82,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,818 : 154,156.73 = 54,793.84 : x
  2. Step 2: Convert to fraction form
    102,818/154,156.73 = 54,793.84/x
  3. Step 3: Cross multiply
    102,818x = 154,156.73 × 54,793.84
  4. Step 4: Simplify right side
    102,818x = 8,446,839,198.54
  5. Step 5: Solve for x
    x = 8,446,839,198.54/102,818
  6. Step 6: Final answer
    x = 82,153.31

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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.