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Finding the Fourth Proportional to 171,873.64, 257,505.30 and 71,813.56

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Solution

The fourth proportional to 171,873.64, 257,505.30 and 71,813.56 is: 107,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,873.64 : 257,505.30 = 71,813.56 : x
  2. Step 2: Convert to fraction form
    171,873.64/257,505.30 = 71,813.56/x
  3. Step 3: Cross multiply
    171,873.64x = 257,505.30 × 71,813.56
  4. Step 4: Simplify right side
    171,873.64x = 18,492,372,311.87
  5. Step 5: Solve for x
    x = 18,492,372,311.87/171,873.64
  6. Step 6: Final answer
    x = 107,592.84

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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.