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Finding the Fourth Proportional to 138,862.92, 208,292.31 and 33,682.80

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Solution

The fourth proportional to 138,862.92, 208,292.31 and 33,682.80 is: 50,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,862.92 : 208,292.31 = 33,682.80 : x
  2. Step 2: Convert to fraction form
    138,862.92/208,292.31 = 33,682.80/x
  3. Step 3: Cross multiply
    138,862.92x = 208,292.31 × 33,682.80
  4. Step 4: Simplify right side
    138,862.92x = 7,015,868,219.27
  5. Step 5: Solve for x
    x = 7,015,868,219.27/138,862.92
  6. Step 6: Final answer
    x = 50,523.70

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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.