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Finding the Fourth Proportional to 215,138.84, 322,608.02 and 81,935.96

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Solution

The fourth proportional to 215,138.84, 322,608.02 and 81,935.96 is: 122,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,138.84 : 322,608.02 = 81,935.96 : x
  2. Step 2: Convert to fraction form
    215,138.84/322,608.02 = 81,935.96/x
  3. Step 3: Cross multiply
    215,138.84x = 322,608.02 × 81,935.96
  4. Step 4: Simplify right side
    215,138.84x = 26,433,195,799.68
  5. Step 5: Solve for x
    x = 26,433,195,799.68/215,138.84
  6. Step 6: Final answer
    x = 122,865.76

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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.