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Finding the Fourth Proportional to 84,072.64, 125,993.76 and 81,549.76

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Solution

The fourth proportional to 84,072.64, 125,993.76 and 81,549.76 is: 122,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,072.64 : 125,993.76 = 81,549.76 : x
  2. Step 2: Convert to fraction form
    84,072.64/125,993.76 = 81,549.76/x
  3. Step 3: Cross multiply
    84,072.64x = 125,993.76 × 81,549.76
  4. Step 4: Simplify right side
    84,072.64x = 10,274,760,889.50
  5. Step 5: Solve for x
    x = 10,274,760,889.50/84,072.64
  6. Step 6: Final answer
    x = 122,212.90

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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.