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Finding the Fourth Proportional to 208,090.73, 312,150.20 and 73,138.39

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Solution

The fourth proportional to 208,090.73, 312,150.20 and 73,138.39 is: 109,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090.73 : 312,150.20 = 73,138.39 : x
  2. Step 2: Convert to fraction form
    208,090.73/312,150.20 = 73,138.39/x
  3. Step 3: Cross multiply
    208,090.73x = 312,150.20 × 73,138.39
  4. Step 4: Simplify right side
    208,090.73x = 22,830,163,310.69
  5. Step 5: Solve for x
    x = 22,830,163,310.69/208,090.73
  6. Step 6: Final answer
    x = 109,712.54

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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.