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Finding the Fourth Proportional to 221,651.34, 332,969.13 and 137,473.74

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Solution

The fourth proportional to 221,651.34, 332,969.13 and 137,473.74 is: 206,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,651.34 : 332,969.13 = 137,473.74 : x
  2. Step 2: Convert to fraction form
    221,651.34/332,969.13 = 137,473.74/x
  3. Step 3: Cross multiply
    221,651.34x = 332,969.13 × 137,473.74
  4. Step 4: Simplify right side
    221,651.34x = 45,774,511,605.65
  5. Step 5: Solve for x
    x = 45,774,511,605.65/221,651.34
  6. Step 6: Final answer
    x = 206,515.84

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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.