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Finding the Fourth Proportional to 171,419.80, 257,129.70 and 71,546.80

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Solution

The fourth proportional to 171,419.80, 257,129.70 and 71,546.80 is: 107,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,419.80 : 257,129.70 = 71,546.80 : x
  2. Step 2: Convert to fraction form
    171,419.80/257,129.70 = 71,546.80/x
  3. Step 3: Cross multiply
    171,419.80x = 257,129.70 × 71,546.80
  4. Step 4: Simplify right side
    171,419.80x = 18,396,807,219.96
  5. Step 5: Solve for x
    x = 18,396,807,219.96/171,419.80
  6. Step 6: Final answer
    x = 107,320.20

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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.