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Finding the Fourth Proportional to 256,093.65, 384,201.14 and 87,615.81

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Solution

The fourth proportional to 256,093.65, 384,201.14 and 87,615.81 is: 131,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,093.65 : 384,201.14 = 87,615.81 : x
  2. Step 2: Convert to fraction form
    256,093.65/384,201.14 = 87,615.81/x
  3. Step 3: Cross multiply
    256,093.65x = 384,201.14 × 87,615.81
  4. Step 4: Simplify right side
    256,093.65x = 33,662,093,645.94
  5. Step 5: Solve for x
    x = 33,662,093,645.94/256,093.65
  6. Step 6: Final answer
    x = 131,444.47

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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.