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Finding the Fourth Proportional to 85,139.76, 127,512.80 and 82,187.31

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Solution

The fourth proportional to 85,139.76, 127,512.80 and 82,187.31 is: 123,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,139.76 : 127,512.80 = 82,187.31 : x
  2. Step 2: Convert to fraction form
    85,139.76/127,512.80 = 82,187.31/x
  3. Step 3: Cross multiply
    85,139.76x = 127,512.80 × 82,187.31
  4. Step 4: Simplify right side
    85,139.76x = 10,479,934,022.57
  5. Step 5: Solve for x
    x = 10,479,934,022.57/85,139.76
  6. Step 6: Final answer
    x = 123,090.95

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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.