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Finding the Fourth Proportional to 47,469, 71,219.10 and 19,412.66

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Solution

The fourth proportional to 47,469, 71,219.10 and 19,412.66 is: 29,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469 : 71,219.10 = 19,412.66 : x
  2. Step 2: Convert to fraction form
    47,469/71,219.10 = 19,412.66/x
  3. Step 3: Cross multiply
    47,469x = 71,219.10 × 19,412.66
  4. Step 4: Simplify right side
    47,469x = 1,382,552,351.85
  5. Step 5: Solve for x
    x = 1,382,552,351.85/47,469
  6. Step 6: Final answer
    x = 29,125.37

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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.