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Finding the Fourth Proportional to 171,983.65, 257,857.71 and 87,580.43

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Solution

The fourth proportional to 171,983.65, 257,857.71 and 87,580.43 is: 131,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,983.65 : 257,857.71 = 87,580.43 : x
  2. Step 2: Convert to fraction form
    171,983.65/257,857.71 = 87,580.43/x
  3. Step 3: Cross multiply
    171,983.65x = 257,857.71 × 87,580.43
  4. Step 4: Simplify right side
    171,983.65x = 22,583,289,120.62
  5. Step 5: Solve for x
    x = 22,583,289,120.62/171,983.65
  6. Step 6: Final answer
    x = 131,310.67

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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.