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Finding the Fourth Proportional to 171,087.08, 256,450.19 and 71,146.64

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Solution

The fourth proportional to 171,087.08, 256,450.19 and 71,146.64 is: 106,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,087.08 : 256,450.19 = 71,146.64 : x
  2. Step 2: Convert to fraction form
    171,087.08/256,450.19 = 71,146.64/x
  3. Step 3: Cross multiply
    171,087.08x = 256,450.19 × 71,146.64
  4. Step 4: Simplify right side
    171,087.08x = 18,245,569,631.25
  5. Step 5: Solve for x
    x = 18,245,569,631.25/171,087.08
  6. Step 6: Final answer
    x = 106,644.93

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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.