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Finding the Fourth Proportional to 137,384,586.64, 189,592,942.44 and 78,647,015.44

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Solution

The fourth proportional to 137,384,586.64, 189,592,942.44 and 78,647,015.44 is: 108,534,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,384,586.64 : 189,592,942.44 = 78,647,015.44 : x
  2. Step 2: Convert to fraction form
    137,384,586.64/189,592,942.44 = 78,647,015.44/x
  3. Step 3: Cross multiply
    137,384,586.64x = 189,592,942.44 × 78,647,015.44
  4. Step 4: Simplify right side
    137,384,586.64x = 14,910,919,071,393,710
  5. Step 5: Solve for x
    x = 14,910,919,071,393,710/137,384,586.64
  6. Step 6: Final answer
    x = 108,534,148.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.