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Finding the Fourth Proportional to 171,924.28, 257,986.84 and 72,076.80

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Solution

The fourth proportional to 171,924.28, 257,986.84 and 72,076.80 is: 108,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,924.28 : 257,986.84 = 72,076.80 : x
  2. Step 2: Convert to fraction form
    171,924.28/257,986.84 = 72,076.80/x
  3. Step 3: Cross multiply
    171,924.28x = 257,986.84 × 72,076.80
  4. Step 4: Simplify right side
    171,924.28x = 18,594,865,869.31
  5. Step 5: Solve for x
    x = 18,594,865,869.31/171,924.28
  6. Step 6: Final answer
    x = 108,157.30

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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.