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Finding the Fourth Proportional to 260,115.71, 390,175.18 and 80,198.71

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Solution

The fourth proportional to 260,115.71, 390,175.18 and 80,198.71 is: 120,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,115.71 : 390,175.18 = 80,198.71 : x
  2. Step 2: Convert to fraction form
    260,115.71/390,175.18 = 80,198.71/x
  3. Step 3: Cross multiply
    260,115.71x = 390,175.18 × 80,198.71
  4. Step 4: Simplify right side
    260,115.71x = 31,291,544,934.08
  5. Step 5: Solve for x
    x = 31,291,544,934.08/260,115.71
  6. Step 6: Final answer
    x = 120,298.56

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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.