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Finding the Fourth Proportional to 154,469, 213,170.46 and 87,401

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Solution

The fourth proportional to 154,469, 213,170.46 and 87,401 is: 120,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,469 : 213,170.46 = 87,401 : x
  2. Step 2: Convert to fraction form
    154,469/213,170.46 = 87,401/x
  3. Step 3: Cross multiply
    154,469x = 213,170.46 × 87,401
  4. Step 4: Simplify right side
    154,469x = 18,631,311,374.46
  5. Step 5: Solve for x
    x = 18,631,311,374.46/154,469
  6. Step 6: Final answer
    x = 120,615.21

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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.