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Finding the Fourth Proportional to 208,539.58, 312,809.37 and 75,388.69

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Solution

The fourth proportional to 208,539.58, 312,809.37 and 75,388.69 is: 113,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,539.58 : 312,809.37 = 75,388.69 : x
  2. Step 2: Convert to fraction form
    208,539.58/312,809.37 = 75,388.69/x
  3. Step 3: Cross multiply
    208,539.58x = 312,809.37 × 75,388.69
  4. Step 4: Simplify right side
    208,539.58x = 23,582,288,624.03
  5. Step 5: Solve for x
    x = 23,582,288,624.03/208,539.58
  6. Step 6: Final answer
    x = 113,083.04

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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.