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Finding the Fourth Proportional to 47,603.70, 71,400.13 and 12,546.09

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Solution

The fourth proportional to 47,603.70, 71,400.13 and 12,546.09 is: 18,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,603.70 : 71,400.13 = 12,546.09 : x
  2. Step 2: Convert to fraction form
    47,603.70/71,400.13 = 12,546.09/x
  3. Step 3: Cross multiply
    47,603.70x = 71,400.13 × 12,546.09
  4. Step 4: Simplify right side
    47,603.70x = 895,792,425.63
  5. Step 5: Solve for x
    x = 895,792,425.63/47,603.70
  6. Step 6: Final answer
    x = 18,817.71

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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.