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Finding the Fourth Proportional to 72,043.92, 108,065.56 and 19,458.80

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Solution

The fourth proportional to 72,043.92, 108,065.56 and 19,458.80 is: 29,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,043.92 : 108,065.56 = 19,458.80 : x
  2. Step 2: Convert to fraction form
    72,043.92/108,065.56 = 19,458.80/x
  3. Step 3: Cross multiply
    72,043.92x = 108,065.56 × 19,458.80
  4. Step 4: Simplify right side
    72,043.92x = 2,102,826,118.93
  5. Step 5: Solve for x
    x = 2,102,826,118.93/72,043.92
  6. Step 6: Final answer
    x = 29,188.11

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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.