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Finding the Fourth Proportional to 208,646.78, 312,891.60 and 75,494.12

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Solution

The fourth proportional to 208,646.78, 312,891.60 and 75,494.12 is: 113,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,646.78 : 312,891.60 = 75,494.12 : x
  2. Step 2: Convert to fraction form
    208,646.78/312,891.60 = 75,494.12/x
  3. Step 3: Cross multiply
    208,646.78x = 312,891.60 × 75,494.12
  4. Step 4: Simplify right side
    208,646.78x = 23,621,475,997.39
  5. Step 5: Solve for x
    x = 23,621,475,997.39/208,646.78
  6. Step 6: Final answer
    x = 113,212.75

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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.