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Finding the Fourth Proportional to 221,780.80, 332,601.40 and 71,986.50

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Solution

The fourth proportional to 221,780.80, 332,601.40 and 71,986.50 is: 107,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,780.80 : 332,601.40 = 71,986.50 : x
  2. Step 2: Convert to fraction form
    221,780.80/332,601.40 = 71,986.50/x
  3. Step 3: Cross multiply
    221,780.80x = 332,601.40 × 71,986.50
  4. Step 4: Simplify right side
    221,780.80x = 23,942,810,681.10
  5. Step 5: Solve for x
    x = 23,942,810,681.10/221,780.80
  6. Step 6: Final answer
    x = 107,957.09

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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.