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Finding the Fourth Proportional to 256,597.68, 384,786.48 and 88,134.96

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Solution

The fourth proportional to 256,597.68, 384,786.48 and 88,134.96 is: 132,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.68 : 384,786.48 = 88,134.96 : x
  2. Step 2: Convert to fraction form
    256,597.68/384,786.48 = 88,134.96/x
  3. Step 3: Cross multiply
    256,597.68x = 384,786.48 × 88,134.96
  4. Step 4: Simplify right side
    256,597.68x = 33,913,141,023.34
  5. Step 5: Solve for x
    x = 33,913,141,023.34/256,597.68
  6. Step 6: Final answer
    x = 132,164.64

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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.