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Finding the Fourth Proportional to 47,696.71, 71,545 and 18,114.49

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Solution

The fourth proportional to 47,696.71, 71,545 and 18,114.49 is: 27,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.71 : 71,545 = 18,114.49 : x
  2. Step 2: Convert to fraction form
    47,696.71/71,545 = 18,114.49/x
  3. Step 3: Cross multiply
    47,696.71x = 71,545 × 18,114.49
  4. Step 4: Simplify right side
    47,696.71x = 1,296,001,187.05
  5. Step 5: Solve for x
    x = 1,296,001,187.05/47,696.71
  6. Step 6: Final answer
    x = 27,171.71

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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.