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Finding the Fourth Proportional to 84,485.50, 126,728.25 and 22,156

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Solution

The fourth proportional to 84,485.50, 126,728.25 and 22,156 is: 33,234

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,485.50 : 126,728.25 = 22,156 : x
  2. Step 2: Convert to fraction form
    84,485.50/126,728.25 = 22,156/x
  3. Step 3: Cross multiply
    84,485.50x = 126,728.25 × 22,156
  4. Step 4: Simplify right side
    84,485.50x = 2,807,791,107
  5. Step 5: Solve for x
    x = 2,807,791,107/84,485.50
  6. Step 6: Final answer
    x = 33,234

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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.