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Finding the Fourth Proportional to 256,659.64, 385,054.92 and 106,850.08

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Solution

The fourth proportional to 256,659.64, 385,054.92 and 106,850.08 is: 160,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,659.64 : 385,054.92 = 106,850.08 : x
  2. Step 2: Convert to fraction form
    256,659.64/385,054.92 = 106,850.08/x
  3. Step 3: Cross multiply
    256,659.64x = 385,054.92 × 106,850.08
  4. Step 4: Simplify right side
    256,659.64x = 41,143,149,006.39
  5. Step 5: Solve for x
    x = 41,143,149,006.39/256,659.64
  6. Step 6: Final answer
    x = 160,302.37

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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.