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Finding the Fourth Proportional to 171,004.48, 256,553.70 and 71,211.40

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Solution

The fourth proportional to 171,004.48, 256,553.70 and 71,211.40 is: 106,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,004.48 : 256,553.70 = 71,211.40 : x
  2. Step 2: Convert to fraction form
    171,004.48/256,553.70 = 71,211.40/x
  3. Step 3: Cross multiply
    171,004.48x = 256,553.70 × 71,211.40
  4. Step 4: Simplify right side
    171,004.48x = 18,269,548,152.18
  5. Step 5: Solve for x
    x = 18,269,548,152.18/171,004.48
  6. Step 6: Final answer
    x = 106,836.66

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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.