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Finding the Fourth Proportional to 208,286.25, 312,443.96 and 83,627.25

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Solution

The fourth proportional to 208,286.25, 312,443.96 and 83,627.25 is: 125,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,286.25 : 312,443.96 = 83,627.25 : x
  2. Step 2: Convert to fraction form
    208,286.25/312,443.96 = 83,627.25/x
  3. Step 3: Cross multiply
    208,286.25x = 312,443.96 × 83,627.25
  4. Step 4: Simplify right side
    208,286.25x = 26,128,828,735.77
  5. Step 5: Solve for x
    x = 26,128,828,735.77/208,286.25
  6. Step 6: Final answer
    x = 125,446.73

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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.