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Finding the Fourth Proportional to 256,784.09, 385,310.44 and 105,093.77

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Solution

The fourth proportional to 256,784.09, 385,310.44 and 105,093.77 is: 157,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,784.09 : 385,310.44 = 105,093.77 : x
  2. Step 2: Convert to fraction form
    256,784.09/385,310.44 = 105,093.77/x
  3. Step 3: Cross multiply
    256,784.09x = 385,310.44 × 105,093.77
  4. Step 4: Simplify right side
    256,784.09x = 40,493,726,759.96
  5. Step 5: Solve for x
    x = 40,493,726,759.96/256,784.09
  6. Step 6: Final answer
    x = 157,695.62

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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.