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Finding the Fourth Proportional to 72,822.87, 109,248.09 and 28,446.82

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Solution

The fourth proportional to 72,822.87, 109,248.09 and 28,446.82 is: 42,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,822.87 : 109,248.09 = 28,446.82 : x
  2. Step 2: Convert to fraction form
    72,822.87/109,248.09 = 28,446.82/x
  3. Step 3: Cross multiply
    72,822.87x = 109,248.09 × 28,446.82
  4. Step 4: Simplify right side
    72,822.87x = 3,107,760,839.05
  5. Step 5: Solve for x
    x = 3,107,760,839.05/72,822.87
  6. Step 6: Final answer
    x = 42,675.61

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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.