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Finding the Fourth Proportional to 85,189, 127,896.60 and 72,788.68

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Solution

The fourth proportional to 85,189, 127,896.60 and 72,788.68 is: 109,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,189 : 127,896.60 = 72,788.68 : x
  2. Step 2: Convert to fraction form
    85,189/127,896.60 = 72,788.68/x
  3. Step 3: Cross multiply
    85,189x = 127,896.60 × 72,788.68
  4. Step 4: Simplify right side
    85,189x = 9,309,424,690.49
  5. Step 5: Solve for x
    x = 9,309,424,690.49/85,189
  6. Step 6: Final answer
    x = 109,279.66

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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.