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Finding the Fourth Proportional to 53,933.70, 80,862.15 and 20,640.90

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Solution

The fourth proportional to 53,933.70, 80,862.15 and 20,640.90 is: 30,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,933.70 : 80,862.15 = 20,640.90 : x
  2. Step 2: Convert to fraction form
    53,933.70/80,862.15 = 20,640.90/x
  3. Step 3: Cross multiply
    53,933.70x = 80,862.15 × 20,640.90
  4. Step 4: Simplify right side
    53,933.70x = 1,669,067,551.94
  5. Step 5: Solve for x
    x = 1,669,067,551.94/53,933.70
  6. Step 6: Final answer
    x = 30,946.65

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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.