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Finding the Fourth Proportional to 256,270.32, 384,138 and 87,741

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Solution

The fourth proportional to 256,270.32, 384,138 and 87,741 is: 131,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,270.32 : 384,138 = 87,741 : x
  2. Step 2: Convert to fraction form
    256,270.32/384,138 = 87,741/x
  3. Step 3: Cross multiply
    256,270.32x = 384,138 × 87,741
  4. Step 4: Simplify right side
    256,270.32x = 33,704,652,258
  5. Step 5: Solve for x
    x = 33,704,652,258/256,270.32
  6. Step 6: Final answer
    x = 131,519.92

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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.