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Finding the Fourth Proportional to 281,249.66, 421,930.92 and 103,757.60

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Solution

The fourth proportional to 281,249.66, 421,930.92 and 103,757.60 is: 155,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,249.66 : 421,930.92 = 103,757.60 : x
  2. Step 2: Convert to fraction form
    281,249.66/421,930.92 = 103,757.60/x
  3. Step 3: Cross multiply
    281,249.66x = 421,930.92 × 103,757.60
  4. Step 4: Simplify right side
    281,249.66x = 43,778,539,624.99
  5. Step 5: Solve for x
    x = 43,778,539,624.99/281,249.66
  6. Step 6: Final answer
    x = 155,657.22

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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.