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Finding the Fourth Proportional to 221,729.80, 332,521.80 and 81,470.20

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Solution

The fourth proportional to 221,729.80, 332,521.80 and 81,470.20 is: 122,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,729.80 : 332,521.80 = 81,470.20 : x
  2. Step 2: Convert to fraction form
    221,729.80/332,521.80 = 81,470.20/x
  3. Step 3: Cross multiply
    221,729.80x = 332,521.80 × 81,470.20
  4. Step 4: Simplify right side
    221,729.80x = 27,090,617,550.36
  5. Step 5: Solve for x
    x = 27,090,617,550.36/221,729.80
  6. Step 6: Final answer
    x = 122,178.51

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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.