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Finding the Fourth Proportional to 221,954.94, 332,899.47 and 81,680.76

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Solution

The fourth proportional to 221,954.94, 332,899.47 and 81,680.76 is: 122,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,954.94 : 332,899.47 = 81,680.76 : x
  2. Step 2: Convert to fraction form
    221,954.94/332,899.47 = 81,680.76/x
  3. Step 3: Cross multiply
    221,954.94x = 332,899.47 × 81,680.76
  4. Step 4: Simplify right side
    221,954.94x = 27,191,481,713.20
  5. Step 5: Solve for x
    x = 27,191,481,713.20/221,954.94
  6. Step 6: Final answer
    x = 122,509.02

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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.