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Finding the Fourth Proportional to 85,383.84, 128,095.92 and 29,224.64

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Solution

The fourth proportional to 85,383.84, 128,095.92 and 29,224.64 is: 43,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,383.84 : 128,095.92 = 29,224.64 : x
  2. Step 2: Convert to fraction form
    85,383.84/128,095.92 = 29,224.64/x
  3. Step 3: Cross multiply
    85,383.84x = 128,095.92 × 29,224.64
  4. Step 4: Simplify right side
    85,383.84x = 3,743,557,147.47
  5. Step 5: Solve for x
    x = 3,743,557,147.47/85,383.84
  6. Step 6: Final answer
    x = 43,843.86

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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.