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Finding the Fourth Proportional to 72,806.93, 109,165.79 and 28,381.79

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Solution

The fourth proportional to 72,806.93, 109,165.79 and 28,381.79 is: 42,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806.93 : 109,165.79 = 28,381.79 : x
  2. Step 2: Convert to fraction form
    72,806.93/109,165.79 = 28,381.79/x
  3. Step 3: Cross multiply
    72,806.93x = 109,165.79 × 28,381.79
  4. Step 4: Simplify right side
    72,806.93x = 3,098,320,052.09
  5. Step 5: Solve for x
    x = 3,098,320,052.09/72,806.93
  6. Step 6: Final answer
    x = 42,555.29

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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.