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Finding the Fourth Proportional to 171,529.80, 257,294.70 and 71,656.80

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Solution

The fourth proportional to 171,529.80, 257,294.70 and 71,656.80 is: 107,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,529.80 : 257,294.70 = 71,656.80 : x
  2. Step 2: Convert to fraction form
    171,529.80/257,294.70 = 71,656.80/x
  3. Step 3: Cross multiply
    171,529.80x = 257,294.70 × 71,656.80
  4. Step 4: Simplify right side
    171,529.80x = 18,436,914,858.96
  5. Step 5: Solve for x
    x = 18,436,914,858.96/171,529.80
  6. Step 6: Final answer
    x = 107,485.20

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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.