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Finding the Fourth Proportional to 260,087.88, 390,145.32 and 82,608.78

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Solution

The fourth proportional to 260,087.88, 390,145.32 and 82,608.78 is: 123,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,087.88 : 390,145.32 = 82,608.78 : x
  2. Step 2: Convert to fraction form
    260,087.88/390,145.32 = 82,608.78/x
  3. Step 3: Cross multiply
    260,087.88x = 390,145.32 × 82,608.78
  4. Step 4: Simplify right side
    260,087.88x = 32,229,428,907.91
  5. Step 5: Solve for x
    x = 32,229,428,907.91/260,087.88
  6. Step 6: Final answer
    x = 123,917.46

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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.