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Finding the Fourth Proportional to 256,121.82, 384,227.82 and 87,602.58

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Solution

The fourth proportional to 256,121.82, 384,227.82 and 87,602.58 is: 131,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,121.82 : 384,227.82 = 87,602.58 : x
  2. Step 2: Convert to fraction form
    256,121.82/384,227.82 = 87,602.58/x
  3. Step 3: Cross multiply
    256,121.82x = 384,227.82 × 87,602.58
  4. Step 4: Simplify right side
    256,121.82x = 33,659,348,339.78
  5. Step 5: Solve for x
    x = 33,659,348,339.78/256,121.82
  6. Step 6: Final answer
    x = 131,419.29

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1.5x scale

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.