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Finding the Fourth Proportional to 281,287.80, 421,936.04 and 91,747.36

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Solution

The fourth proportional to 281,287.80, 421,936.04 and 91,747.36 is: 137,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,287.80 : 421,936.04 = 91,747.36 : x
  2. Step 2: Convert to fraction form
    281,287.80/421,936.04 = 91,747.36/x
  3. Step 3: Cross multiply
    281,287.80x = 421,936.04 × 91,747.36
  4. Step 4: Simplify right side
    281,287.80x = 38,711,517,758.85
  5. Step 5: Solve for x
    x = 38,711,517,758.85/281,287.80
  6. Step 6: Final answer
    x = 137,622.46

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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.