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Finding the Fourth Proportional to 171,496.77, 257,245.16 and 71,602.58

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Solution

The fourth proportional to 171,496.77, 257,245.16 and 71,602.58 is: 107,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,496.77 : 257,245.16 = 71,602.58 : x
  2. Step 2: Convert to fraction form
    171,496.77/257,245.16 = 71,602.58/x
  3. Step 3: Cross multiply
    171,496.77x = 257,245.16 × 71,602.58
  4. Step 4: Simplify right side
    171,496.77x = 18,419,415,504.27
  5. Step 5: Solve for x
    x = 18,419,415,504.27/171,496.77
  6. Step 6: Final answer
    x = 107,403.86

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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.