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Finding the Fourth Proportional to 221,821.32, 332,863.74 and 81,678.36

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Solution

The fourth proportional to 221,821.32, 332,863.74 and 81,678.36 is: 122,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,821.32 : 332,863.74 = 81,678.36 : x
  2. Step 2: Convert to fraction form
    221,821.32/332,863.74 = 81,678.36/x
  3. Step 3: Cross multiply
    221,821.32x = 332,863.74 × 81,678.36
  4. Step 4: Simplify right side
    221,821.32x = 27,187,764,386.67
  5. Step 5: Solve for x
    x = 27,187,764,386.67/221,821.32
  6. Step 6: Final answer
    x = 122,566.06

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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.