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Finding the Fourth Proportional to 30,192, 45,299.52 and 11,725.44

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Solution

The fourth proportional to 30,192, 45,299.52 and 11,725.44 is: 17,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192 : 45,299.52 = 11,725.44 : x
  2. Step 2: Convert to fraction form
    30,192/45,299.52 = 11,725.44/x
  3. Step 3: Cross multiply
    30,192x = 45,299.52 × 11,725.44
  4. Step 4: Simplify right side
    30,192x = 531,156,803.79
  5. Step 5: Solve for x
    x = 531,156,803.79/30,192
  6. Step 6: Final answer
    x = 17,592.63

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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.