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Finding the Fourth Proportional to 144,993.78, 217,546.10 and 81,885.16

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Solution

The fourth proportional to 144,993.78, 217,546.10 and 81,885.16 is: 122,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,993.78 : 217,546.10 = 81,885.16 : x
  2. Step 2: Convert to fraction form
    144,993.78/217,546.10 = 81,885.16/x
  3. Step 3: Cross multiply
    144,993.78x = 217,546.10 × 81,885.16
  4. Step 4: Simplify right side
    144,993.78x = 17,813,797,205.88
  5. Step 5: Solve for x
    x = 17,813,797,205.88/144,993.78
  6. Step 6: Final answer
    x = 122,859.04

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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.