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Finding the Fourth Proportional to 47,782.26, 71,674.11 and 12,726.90

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Solution

The fourth proportional to 47,782.26, 71,674.11 and 12,726.90 is: 19,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782.26 : 71,674.11 = 12,726.90 : x
  2. Step 2: Convert to fraction form
    47,782.26/71,674.11 = 12,726.90/x
  3. Step 3: Cross multiply
    47,782.26x = 71,674.11 × 12,726.90
  4. Step 4: Simplify right side
    47,782.26x = 912,189,230.56
  5. Step 5: Solve for x
    x = 912,189,230.56/47,782.26
  6. Step 6: Final answer
    x = 19,090.54

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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.