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Finding the Fourth Proportional to 53,772, 80,660.16 and 16,836

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Solution

The fourth proportional to 53,772, 80,660.16 and 16,836 is: 25,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,772 : 80,660.16 = 16,836 : x
  2. Step 2: Convert to fraction form
    53,772/80,660.16 = 16,836/x
  3. Step 3: Cross multiply
    53,772x = 80,660.16 × 16,836
  4. Step 4: Simplify right side
    53,772x = 1,357,994,453.76
  5. Step 5: Solve for x
    x = 1,357,994,453.76/53,772
  6. Step 6: Final answer
    x = 25,254.68

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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.