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Finding the Fourth Proportional to 256,747.68, 385,009.11 and 121,850.33

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Solution

The fourth proportional to 256,747.68, 385,009.11 and 121,850.33 is: 182,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,747.68 : 385,009.11 = 121,850.33 : x
  2. Step 2: Convert to fraction form
    256,747.68/385,009.11 = 121,850.33/x
  3. Step 3: Cross multiply
    256,747.68x = 385,009.11 × 121,850.33
  4. Step 4: Simplify right side
    256,747.68x = 46,913,485,181.46
  5. Step 5: Solve for x
    x = 46,913,485,181.46/256,747.68
  6. Step 6: Final answer
    x = 182,722.14

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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.