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Finding the Fourth Proportional to 194,737, 268,739.10 and 108,704.08

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Solution

The fourth proportional to 194,737, 268,739.10 and 108,704.08 is: 150,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,737 : 268,739.10 = 108,704.08 : x
  2. Step 2: Convert to fraction form
    194,737/268,739.10 = 108,704.08/x
  3. Step 3: Cross multiply
    194,737x = 268,739.10 × 108,704.08
  4. Step 4: Simplify right side
    194,737x = 29,213,036,625.53
  5. Step 5: Solve for x
    x = 29,213,036,625.53/194,737
  6. Step 6: Final answer
    x = 150,012.77

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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.