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Finding the Fourth Proportional to 256,972.85, 384,897.91 and 106,757.69

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Solution

The fourth proportional to 256,972.85, 384,897.91 and 106,757.69 is: 159,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,972.85 : 384,897.91 = 106,757.69 : x
  2. Step 2: Convert to fraction form
    256,972.85/384,897.91 = 106,757.69/x
  3. Step 3: Cross multiply
    256,972.85x = 384,897.91 × 106,757.69
  4. Step 4: Simplify right side
    256,972.85x = 41,090,811,757.43
  5. Step 5: Solve for x
    x = 41,090,811,757.43/256,972.85
  6. Step 6: Final answer
    x = 159,903.32

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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.