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Finding the Fourth Proportional to 171,435.66, 257,194.54 and 71,540.28

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Solution

The fourth proportional to 171,435.66, 257,194.54 and 71,540.28 is: 107,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,435.66 : 257,194.54 = 71,540.28 : x
  2. Step 2: Convert to fraction form
    171,435.66/257,194.54 = 71,540.28/x
  3. Step 3: Cross multiply
    171,435.66x = 257,194.54 × 71,540.28
  4. Step 4: Simplify right side
    171,435.66x = 18,399,769,406.07
  5. Step 5: Solve for x
    x = 18,399,769,406.07/171,435.66
  6. Step 6: Final answer
    x = 107,327.55

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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.