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Finding the Fourth Proportional to 85,106, 127,659 and 22,775.12

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Solution

The fourth proportional to 85,106, 127,659 and 22,775.12 is: 34,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,106 : 127,659 = 22,775.12 : x
  2. Step 2: Convert to fraction form
    85,106/127,659 = 22,775.12/x
  3. Step 3: Cross multiply
    85,106x = 127,659 × 22,775.12
  4. Step 4: Simplify right side
    85,106x = 2,907,449,044.08
  5. Step 5: Solve for x
    x = 2,907,449,044.08/85,106
  6. Step 6: Final answer
    x = 34,162.68

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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.