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Finding the Fourth Proportional to 84,411.76, 126,617.64 and 22,081.72

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Solution

The fourth proportional to 84,411.76, 126,617.64 and 22,081.72 is: 33,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,411.76 : 126,617.64 = 22,081.72 : x
  2. Step 2: Convert to fraction form
    84,411.76/126,617.64 = 22,081.72/x
  3. Step 3: Cross multiply
    84,411.76x = 126,617.64 × 22,081.72
  4. Step 4: Simplify right side
    84,411.76x = 2,795,935,273.54
  5. Step 5: Solve for x
    x = 2,795,935,273.54/84,411.76
  6. Step 6: Final answer
    x = 33,122.58

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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.