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Finding the Fourth Proportional to 144,992.78, 217,544.60 and 81,884.16

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Solution

The fourth proportional to 144,992.78, 217,544.60 and 81,884.16 is: 122,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,992.78 : 217,544.60 = 81,884.16 : x
  2. Step 2: Convert to fraction form
    144,992.78/217,544.60 = 81,884.16/x
  3. Step 3: Cross multiply
    144,992.78x = 217,544.60 × 81,884.16
  4. Step 4: Simplify right side
    144,992.78x = 17,813,456,424.12
  5. Step 5: Solve for x
    x = 17,813,456,424.12/144,992.78
  6. Step 6: Final answer
    x = 122,857.55

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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.