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Finding the Fourth Proportional to 171,662.20, 257,420.40 and 82,942.90

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Solution

The fourth proportional to 171,662.20, 257,420.40 and 82,942.90 is: 124,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,662.20 : 257,420.40 = 82,942.90 : x
  2. Step 2: Convert to fraction form
    171,662.20/257,420.40 = 82,942.90/x
  3. Step 3: Cross multiply
    171,662.20x = 257,420.40 × 82,942.90
  4. Step 4: Simplify right side
    171,662.20x = 21,351,194,495.16
  5. Step 5: Solve for x
    x = 21,351,194,495.16/171,662.20
  6. Step 6: Final answer
    x = 124,379.13

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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.