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Finding the Fourth Proportional to 171,109.62, 256,729.98 and 71,242.98

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Solution

The fourth proportional to 171,109.62, 256,729.98 and 71,242.98 is: 106,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,109.62 : 256,729.98 = 71,242.98 : x
  2. Step 2: Convert to fraction form
    171,109.62/256,729.98 = 71,242.98/x
  3. Step 3: Cross multiply
    171,109.62x = 256,729.98 × 71,242.98
  4. Step 4: Simplify right side
    171,109.62x = 18,290,208,830.54
  5. Step 5: Solve for x
    x = 18,290,208,830.54/171,109.62
  6. Step 6: Final answer
    x = 106,891.76

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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.