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Finding the Fourth Proportional to 47,712.70, 71,604.60 and 18,188.20

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Solution

The fourth proportional to 47,712.70, 71,604.60 and 18,188.20 is: 27,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.70 : 71,604.60 = 18,188.20 : x
  2. Step 2: Convert to fraction form
    47,712.70/71,604.60 = 18,188.20/x
  3. Step 3: Cross multiply
    47,712.70x = 71,604.60 × 18,188.20
  4. Step 4: Simplify right side
    47,712.70x = 1,302,358,785.72
  5. Step 5: Solve for x
    x = 1,302,358,785.72/47,712.70
  6. Step 6: Final answer
    x = 27,295.85

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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.