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Finding the Fourth Proportional to 260,138.22, 390,207.48 and 73,149.72

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Solution

The fourth proportional to 260,138.22, 390,207.48 and 73,149.72 is: 109,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,138.22 : 390,207.48 = 73,149.72 : x
  2. Step 2: Convert to fraction form
    260,138.22/390,207.48 = 73,149.72/x
  3. Step 3: Cross multiply
    260,138.22x = 390,207.48 × 73,149.72
  4. Step 4: Simplify right side
    260,138.22x = 28,543,567,903.91
  5. Step 5: Solve for x
    x = 28,543,567,903.91/260,138.22
  6. Step 6: Final answer
    x = 109,724.62

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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.