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Finding the Fourth Proportional to 128,493.53, 192,680.31 and 48,469.84

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Solution

The fourth proportional to 128,493.53, 192,680.31 and 48,469.84 is: 72,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,493.53 : 192,680.31 = 48,469.84 : x
  2. Step 2: Convert to fraction form
    128,493.53/192,680.31 = 48,469.84/x
  3. Step 3: Cross multiply
    128,493.53x = 192,680.31 × 48,469.84
  4. Step 4: Simplify right side
    128,493.53x = 9,339,183,496.91
  5. Step 5: Solve for x
    x = 9,339,183,496.91/128,493.53
  6. Step 6: Final answer
    x = 72,682.13

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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.