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Finding the Fourth Proportional to 253,767.17, 380,659.97 and 85,293.11

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Solution

The fourth proportional to 253,767.17, 380,659.97 and 85,293.11 is: 127,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,767.17 : 380,659.97 = 85,293.11 : x
  2. Step 2: Convert to fraction form
    253,767.17/380,659.97 = 85,293.11/x
  3. Step 3: Cross multiply
    253,767.17x = 380,659.97 × 85,293.11
  4. Step 4: Simplify right side
    253,767.17x = 32,467,673,858.69
  5. Step 5: Solve for x
    x = 32,467,673,858.69/253,767.17
  6. Step 6: Final answer
    x = 127,942.77

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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.