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Finding the Fourth Proportional to 49,221, 73,832.04 and 12,285

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Solution

The fourth proportional to 49,221, 73,832.04 and 12,285 is: 18,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,221 : 73,832.04 = 12,285 : x
  2. Step 2: Convert to fraction form
    49,221/73,832.04 = 12,285/x
  3. Step 3: Cross multiply
    49,221x = 73,832.04 × 12,285
  4. Step 4: Simplify right side
    49,221x = 907,026,611.40
  5. Step 5: Solve for x
    x = 907,026,611.40/49,221
  6. Step 6: Final answer
    x = 18,427.63

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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.