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Finding the Fourth Proportional to 208,202.55, 312,306.38 and 73,270.64

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Solution

The fourth proportional to 208,202.55, 312,306.38 and 73,270.64 is: 109,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.55 : 312,306.38 = 73,270.64 : x
  2. Step 2: Convert to fraction form
    208,202.55/312,306.38 = 73,270.64/x
  3. Step 3: Cross multiply
    208,202.55x = 312,306.38 × 73,270.64
  4. Step 4: Simplify right side
    208,202.55x = 22,882,886,410.80
  5. Step 5: Solve for x
    x = 22,882,886,410.80/208,202.55
  6. Step 6: Final answer
    x = 109,906.85

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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.