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Finding the Fourth Proportional to 281,056.44, 421,387.48 and 103,540.64

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Solution

The fourth proportional to 281,056.44, 421,387.48 and 103,540.64 is: 155,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,056.44 : 421,387.48 = 103,540.64 : x
  2. Step 2: Convert to fraction form
    281,056.44/421,387.48 = 103,540.64/x
  3. Step 3: Cross multiply
    281,056.44x = 421,387.48 × 103,540.64
  4. Step 4: Simplify right side
    281,056.44x = 43,630,729,367.19
  5. Step 5: Solve for x
    x = 43,630,729,367.19/281,056.44
  6. Step 6: Final answer
    x = 155,238.32

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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.