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Finding the Fourth Proportional to 72,872.51, 109,286.69 and 25,478.77

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Solution

The fourth proportional to 72,872.51, 109,286.69 and 25,478.77 is: 38,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,872.51 : 109,286.69 = 25,478.77 : x
  2. Step 2: Convert to fraction form
    72,872.51/109,286.69 = 25,478.77/x
  3. Step 3: Cross multiply
    72,872.51x = 109,286.69 × 25,478.77
  4. Step 4: Simplify right side
    72,872.51x = 2,784,489,889.31
  5. Step 5: Solve for x
    x = 2,784,489,889.31/72,872.51
  6. Step 6: Final answer
    x = 38,210.43

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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.