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Finding the Fourth Proportional to 260,833.69, 391,217.86 and 83,325.97

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Solution

The fourth proportional to 260,833.69, 391,217.86 and 83,325.97 is: 124,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,833.69 : 391,217.86 = 83,325.97 : x
  2. Step 2: Convert to fraction form
    260,833.69/391,217.86 = 83,325.97/x
  3. Step 3: Cross multiply
    260,833.69x = 391,217.86 × 83,325.97
  4. Step 4: Simplify right side
    260,833.69x = 32,598,607,665.82
  5. Step 5: Solve for x
    x = 32,598,607,665.82/260,833.69
  6. Step 6: Final answer
    x = 124,978.52

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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.