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Finding the Fourth Proportional to 85,128, 127,692 and 26,760

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Solution

The fourth proportional to 85,128, 127,692 and 26,760 is: 40,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,128 : 127,692 = 26,760 : x
  2. Step 2: Convert to fraction form
    85,128/127,692 = 26,760/x
  3. Step 3: Cross multiply
    85,128x = 127,692 × 26,760
  4. Step 4: Simplify right side
    85,128x = 3,417,037,920
  5. Step 5: Solve for x
    x = 3,417,037,920/85,128
  6. Step 6: Final answer
    x = 40,140

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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.