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Finding the Fourth Proportional to 221,857.80, 332,786.70 and 137,712.98

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Solution

The fourth proportional to 221,857.80, 332,786.70 and 137,712.98 is: 206,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,857.80 : 332,786.70 = 137,712.98 : x
  2. Step 2: Convert to fraction form
    221,857.80/332,786.70 = 137,712.98/x
  3. Step 3: Cross multiply
    221,857.80x = 332,786.70 × 137,712.98
  4. Step 4: Simplify right side
    221,857.80x = 45,829,046,497.43
  5. Step 5: Solve for x
    x = 45,829,046,497.43/221,857.80
  6. Step 6: Final answer
    x = 206,569.46

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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.