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Finding the Fourth Proportional to 47,644, 71,429.09 and 27,622.70

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Solution

The fourth proportional to 47,644, 71,429.09 and 27,622.70 is: 41,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644 : 71,429.09 = 27,622.70 : x
  2. Step 2: Convert to fraction form
    47,644/71,429.09 = 27,622.70/x
  3. Step 3: Cross multiply
    47,644x = 71,429.09 × 27,622.70
  4. Step 4: Simplify right side
    47,644x = 1,973,064,324.34
  5. Step 5: Solve for x
    x = 1,973,064,324.34/47,644
  6. Step 6: Final answer
    x = 41,412.65

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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.