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Finding the Fourth Proportional to 49,223, 73,835.04 and 12,287

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Solution

The fourth proportional to 49,223, 73,835.04 and 12,287 is: 18,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,223 : 73,835.04 = 12,287 : x
  2. Step 2: Convert to fraction form
    49,223/73,835.04 = 12,287/x
  3. Step 3: Cross multiply
    49,223x = 73,835.04 × 12,287
  4. Step 4: Simplify right side
    49,223x = 907,211,136.48
  5. Step 5: Solve for x
    x = 907,211,136.48/49,223
  6. Step 6: Final answer
    x = 18,430.63

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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.