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Finding the Fourth Proportional to 281,238.36, 421,901.42 and 91,654.62

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Solution

The fourth proportional to 281,238.36, 421,901.42 and 91,654.62 is: 137,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,238.36 : 421,901.42 = 91,654.62 : x
  2. Step 2: Convert to fraction form
    281,238.36/421,901.42 = 91,654.62/x
  3. Step 3: Cross multiply
    281,238.36x = 421,901.42 × 91,654.62
  4. Step 4: Simplify right side
    281,238.36x = 38,669,214,327.56
  5. Step 5: Solve for x
    x = 38,669,214,327.56/281,238.36
  6. Step 6: Final answer
    x = 137,496.23

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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.