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Finding the Fourth Proportional to 139,007, 208,512.32 and 45,512.75

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Solution

The fourth proportional to 139,007, 208,512.32 and 45,512.75 is: 68,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,007 : 208,512.32 = 45,512.75 : x
  2. Step 2: Convert to fraction form
    139,007/208,512.32 = 45,512.75/x
  3. Step 3: Cross multiply
    139,007x = 208,512.32 × 45,512.75
  4. Step 4: Simplify right side
    139,007x = 9,489,969,092.08
  5. Step 5: Solve for x
    x = 9,489,969,092.08/139,007
  6. Step 6: Final answer
    x = 68,269.72

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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.