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Finding the Fourth Proportional to 208,201.70, 312,509.92 and 114,751.46

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Solution

The fourth proportional to 208,201.70, 312,509.92 and 114,751.46 is: 172,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,201.70 : 312,509.92 = 114,751.46 : x
  2. Step 2: Convert to fraction form
    208,201.70/312,509.92 = 114,751.46/x
  3. Step 3: Cross multiply
    208,201.70x = 312,509.92 × 114,751.46
  4. Step 4: Simplify right side
    208,201.70x = 35,860,969,584.48
  5. Step 5: Solve for x
    x = 35,860,969,584.48/208,201.70
  6. Step 6: Final answer
    x = 172,241.48

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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.