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Finding the Fourth Proportional to 221,709.40, 332,326.04 and 114,986.54

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Solution

The fourth proportional to 221,709.40, 332,326.04 and 114,986.54 is: 172,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,709.40 : 332,326.04 = 114,986.54 : x
  2. Step 2: Convert to fraction form
    221,709.40/332,326.04 = 114,986.54/x
  3. Step 3: Cross multiply
    221,709.40x = 332,326.04 × 114,986.54
  4. Step 4: Simplify right side
    221,709.40x = 38,213,020,524.85
  5. Step 5: Solve for x
    x = 38,213,020,524.85/221,709.40
  6. Step 6: Final answer
    x = 172,356.34

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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.