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Finding the Fourth Proportional to 281,181.28, 421,727.28 and 131,525.44

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Solution

The fourth proportional to 281,181.28, 421,727.28 and 131,525.44 is: 197,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,181.28 : 421,727.28 = 131,525.44 : x
  2. Step 2: Convert to fraction form
    281,181.28/421,727.28 = 131,525.44/x
  3. Step 3: Cross multiply
    281,181.28x = 421,727.28 × 131,525.44
  4. Step 4: Simplify right side
    281,181.28x = 55,467,866,062.00
  5. Step 5: Solve for x
    x = 55,467,866,062.00/281,181.28
  6. Step 6: Final answer
    x = 197,267.28

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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.