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Finding the Fourth Proportional to 256,151.52, 384,287.76 and 87,673.92

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Solution

The fourth proportional to 256,151.52, 384,287.76 and 87,673.92 is: 131,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,151.52 : 384,287.76 = 87,673.92 : x
  2. Step 2: Convert to fraction form
    256,151.52/384,287.76 = 87,673.92/x
  3. Step 3: Cross multiply
    256,151.52x = 384,287.76 × 87,673.92
  4. Step 4: Simplify right side
    256,151.52x = 33,692,014,327.22
  5. Step 5: Solve for x
    x = 33,692,014,327.22/256,151.52
  6. Step 6: Final answer
    x = 131,531.58

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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.