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Finding the Fourth Proportional to 253,893.24, 380,872.62 and 85,340.88

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Solution

The fourth proportional to 253,893.24, 380,872.62 and 85,340.88 is: 128,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,893.24 : 380,872.62 = 85,340.88 : x
  2. Step 2: Convert to fraction form
    253,893.24/380,872.62 = 85,340.88/x
  3. Step 3: Cross multiply
    253,893.24x = 380,872.62 × 85,340.88
  4. Step 4: Simplify right side
    253,893.24x = 32,504,004,558.71
  5. Step 5: Solve for x
    x = 32,504,004,558.71/253,893.24
  6. Step 6: Final answer
    x = 128,022.33

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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.