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Finding the Fourth Proportional to 71,879.52, 107,813.52 and 19,288.80

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Solution

The fourth proportional to 71,879.52, 107,813.52 and 19,288.80 is: 28,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,879.52 : 107,813.52 = 19,288.80 : x
  2. Step 2: Convert to fraction form
    71,879.52/107,813.52 = 19,288.80/x
  3. Step 3: Cross multiply
    71,879.52x = 107,813.52 × 19,288.80
  4. Step 4: Simplify right side
    71,879.52x = 2,079,593,424.58
  5. Step 5: Solve for x
    x = 2,079,593,424.58/71,879.52
  6. Step 6: Final answer
    x = 28,931.65

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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.