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Finding the Fourth Proportional to 53,807.89, 80,724.78 and 16,871.89

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Solution

The fourth proportional to 53,807.89, 80,724.78 and 16,871.89 is: 25,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,807.89 : 80,724.78 = 16,871.89 : x
  2. Step 2: Convert to fraction form
    53,807.89/80,724.78 = 16,871.89/x
  3. Step 3: Cross multiply
    53,807.89x = 80,724.78 × 16,871.89
  4. Step 4: Simplify right side
    53,807.89x = 1,361,979,608.43
  5. Step 5: Solve for x
    x = 1,361,979,608.43/53,807.89
  6. Step 6: Final answer
    x = 25,311.89

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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.