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Finding the Fourth Proportional to 47,682, 71,499.84 and 14,395.68

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Solution

The fourth proportional to 47,682, 71,499.84 and 14,395.68 is: 21,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682 : 71,499.84 = 14,395.68 : x
  2. Step 2: Convert to fraction form
    47,682/71,499.84 = 14,395.68/x
  3. Step 3: Cross multiply
    47,682x = 71,499.84 × 14,395.68
  4. Step 4: Simplify right side
    47,682x = 1,029,288,816.69
  5. Step 5: Solve for x
    x = 1,029,288,816.69/47,682
  6. Step 6: Final answer
    x = 21,586.53

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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.