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Finding the Fourth Proportional to 256,049.76, 384,120.12 and 87,588.72

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Solution

The fourth proportional to 256,049.76, 384,120.12 and 87,588.72 is: 131,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,049.76 : 384,120.12 = 87,588.72 : x
  2. Step 2: Convert to fraction form
    256,049.76/384,120.12 = 87,588.72/x
  3. Step 3: Cross multiply
    256,049.76x = 384,120.12 × 87,588.72
  4. Step 4: Simplify right side
    256,049.76x = 33,644,589,637.05
  5. Step 5: Solve for x
    x = 33,644,589,637.05/256,049.76
  6. Step 6: Final answer
    x = 131,398.64

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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.