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Finding the Fourth Proportional to 172,585.05, 258,771.87 and 67,281

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Solution

The fourth proportional to 172,585.05, 258,771.87 and 67,281 is: 100,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,585.05 : 258,771.87 = 67,281 : x
  2. Step 2: Convert to fraction form
    172,585.05/258,771.87 = 67,281/x
  3. Step 3: Cross multiply
    172,585.05x = 258,771.87 × 67,281
  4. Step 4: Simplify right side
    172,585.05x = 17,410,430,185.47
  5. Step 5: Solve for x
    x = 17,410,430,185.47/172,585.05
  6. Step 6: Final answer
    x = 100,880.29

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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.