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Finding the Fourth Proportional to 47,478.72, 71,198.64 and 17,881.68

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Solution

The fourth proportional to 47,478.72, 71,198.64 and 17,881.68 is: 26,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478.72 : 71,198.64 = 17,881.68 : x
  2. Step 2: Convert to fraction form
    47,478.72/71,198.64 = 17,881.68/x
  3. Step 3: Cross multiply
    47,478.72x = 71,198.64 × 17,881.68
  4. Step 4: Simplify right side
    47,478.72x = 1,273,151,296.92
  5. Step 5: Solve for x
    x = 1,273,151,296.92/47,478.72
  6. Step 6: Final answer
    x = 26,815.20

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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.