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Finding the Fourth Proportional to 85,100, 127,650 and 22,768.88

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Solution

The fourth proportional to 85,100, 127,650 and 22,768.88 is: 34,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,100 : 127,650 = 22,768.88 : x
  2. Step 2: Convert to fraction form
    85,100/127,650 = 22,768.88/x
  3. Step 3: Cross multiply
    85,100x = 127,650 × 22,768.88
  4. Step 4: Simplify right side
    85,100x = 2,906,447,532
  5. Step 5: Solve for x
    x = 2,906,447,532/85,100
  6. Step 6: Final answer
    x = 34,153.32

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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.