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Finding the Fourth Proportional to 256,112.46, 384,241.59 and 87,655.14

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Solution

The fourth proportional to 256,112.46, 384,241.59 and 87,655.14 is: 131,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,112.46 : 384,241.59 = 87,655.14 : x
  2. Step 2: Convert to fraction form
    256,112.46/384,241.59 = 87,655.14/x
  3. Step 3: Cross multiply
    256,112.46x = 384,241.59 × 87,655.14
  4. Step 4: Simplify right side
    256,112.46x = 33,680,750,365.27
  5. Step 5: Solve for x
    x = 33,680,750,365.27/256,112.46
  6. Step 6: Final answer
    x = 131,507.66

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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.