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Finding the Fourth Proportional to 85,077.66, 127,634.72 and 25,918.09

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Solution

The fourth proportional to 85,077.66, 127,634.72 and 25,918.09 is: 38,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,077.66 : 127,634.72 = 25,918.09 : x
  2. Step 2: Convert to fraction form
    85,077.66/127,634.72 = 25,918.09/x
  3. Step 3: Cross multiply
    85,077.66x = 127,634.72 × 25,918.09
  4. Step 4: Simplify right side
    85,077.66x = 3,308,048,160.08
  5. Step 5: Solve for x
    x = 3,308,048,160.08/85,077.66
  6. Step 6: Final answer
    x = 38,882.69

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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.