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Finding the Fourth Proportional to 146,857, 202,679.94 and 87,241

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Solution

The fourth proportional to 146,857, 202,679.94 and 87,241 is: 120,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,857 : 202,679.94 = 87,241 : x
  2. Step 2: Convert to fraction form
    146,857/202,679.94 = 87,241/x
  3. Step 3: Cross multiply
    146,857x = 202,679.94 × 87,241
  4. Step 4: Simplify right side
    146,857x = 17,682,000,645.54
  5. Step 5: Solve for x
    x = 17,682,000,645.54/146,857
  6. Step 6: Final answer
    x = 120,402.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.