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Finding the Fourth Proportional to 148,518, 204,954.84 and 81,450

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Solution

The fourth proportional to 148,518, 204,954.84 and 81,450 is: 112,401

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,518 : 204,954.84 = 81,450 : x
  2. Step 2: Convert to fraction form
    148,518/204,954.84 = 81,450/x
  3. Step 3: Cross multiply
    148,518x = 204,954.84 × 81,450
  4. Step 4: Simplify right side
    148,518x = 16,693,571,718
  5. Step 5: Solve for x
    x = 16,693,571,718/148,518
  6. Step 6: Final answer
    x = 112,401

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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.