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Finding the Fourth Proportional to 171,006.48, 256,556.70 and 71,213.40

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Solution

The fourth proportional to 171,006.48, 256,556.70 and 71,213.40 is: 106,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,006.48 : 256,556.70 = 71,213.40 : x
  2. Step 2: Convert to fraction form
    171,006.48/256,556.70 = 71,213.40/x
  3. Step 3: Cross multiply
    171,006.48x = 256,556.70 × 71,213.40
  4. Step 4: Simplify right side
    171,006.48x = 18,270,274,899.78
  5. Step 5: Solve for x
    x = 18,270,274,899.78/171,006.48
  6. Step 6: Final answer
    x = 106,839.66

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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.