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Finding the Fourth Proportional to 139,910.94, 209,896.41 and 45,146.52

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Solution

The fourth proportional to 139,910.94, 209,896.41 and 45,146.52 is: 67,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,910.94 : 209,896.41 = 45,146.52 : x
  2. Step 2: Convert to fraction form
    139,910.94/209,896.41 = 45,146.52/x
  3. Step 3: Cross multiply
    139,910.94x = 209,896.41 × 45,146.52
  4. Step 4: Simplify right side
    139,910.94x = 9,476,092,471.99
  5. Step 5: Solve for x
    x = 9,476,092,471.99/139,910.94
  6. Step 6: Final answer
    x = 67,729.46

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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.