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Finding the Fourth Proportional to 260,173.96, 390,215.58 and 73,141

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Solution

The fourth proportional to 260,173.96, 390,215.58 and 73,141 is: 109,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,173.96 : 390,215.58 = 73,141 : x
  2. Step 2: Convert to fraction form
    260,173.96/390,215.58 = 73,141/x
  3. Step 3: Cross multiply
    260,173.96x = 390,215.58 × 73,141
  4. Step 4: Simplify right side
    260,173.96x = 28,540,757,736.78
  5. Step 5: Solve for x
    x = 28,540,757,736.78/260,173.96
  6. Step 6: Final answer
    x = 109,698.75

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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.