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Finding the Fourth Proportional to 171,792.57, 257,688.84 and 100,823.20

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Solution

The fourth proportional to 171,792.57, 257,688.84 and 100,823.20 is: 151,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,792.57 : 257,688.84 = 100,823.20 : x
  2. Step 2: Convert to fraction form
    171,792.57/257,688.84 = 100,823.20/x
  3. Step 3: Cross multiply
    171,792.57x = 257,688.84 × 100,823.20
  4. Step 4: Simplify right side
    171,792.57x = 25,981,013,453.09
  5. Step 5: Solve for x
    x = 25,981,013,453.09/171,792.57
  6. Step 6: Final answer
    x = 151,234.79

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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.