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Finding the Fourth Proportional to 84,441.81, 126,662.84 and 21,261.95

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Solution

The fourth proportional to 84,441.81, 126,662.84 and 21,261.95 is: 31,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,441.81 : 126,662.84 = 21,261.95 : x
  2. Step 2: Convert to fraction form
    84,441.81/126,662.84 = 21,261.95/x
  3. Step 3: Cross multiply
    84,441.81x = 126,662.84 × 21,261.95
  4. Step 4: Simplify right side
    84,441.81x = 2,693,098,970.94
  5. Step 5: Solve for x
    x = 2,693,098,970.94/84,441.81
  6. Step 6: Final answer
    x = 31,892.96

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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.