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Finding the Fourth Proportional to 84,551.85, 126,816.84 and 31,954.50

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Solution

The fourth proportional to 84,551.85, 126,816.84 and 31,954.50 is: 47,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,551.85 : 126,816.84 = 31,954.50 : x
  2. Step 2: Convert to fraction form
    84,551.85/126,816.84 = 31,954.50/x
  3. Step 3: Cross multiply
    84,551.85x = 126,816.84 × 31,954.50
  4. Step 4: Simplify right side
    84,551.85x = 4,052,368,713.78
  5. Step 5: Solve for x
    x = 4,052,368,713.78/84,551.85
  6. Step 6: Final answer
    x = 47,927.62

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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.