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Finding the Fourth Proportional to 81,295.29, 121,930.61 and 22,135.61

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Solution

The fourth proportional to 81,295.29, 121,930.61 and 22,135.61 is: 33,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,295.29 : 121,930.61 = 22,135.61 : x
  2. Step 2: Convert to fraction form
    81,295.29/121,930.61 = 22,135.61/x
  3. Step 3: Cross multiply
    81,295.29x = 121,930.61 × 22,135.61
  4. Step 4: Simplify right side
    81,295.29x = 2,699,008,624.17
  5. Step 5: Solve for x
    x = 2,699,008,624.17/81,295.29
  6. Step 6: Final answer
    x = 33,200.06

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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.