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Finding the Fourth Proportional to 72,757.52, 109,135.88 and 18,722.16

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Solution

The fourth proportional to 72,757.52, 109,135.88 and 18,722.16 is: 28,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,757.52 : 109,135.88 = 18,722.16 : x
  2. Step 2: Convert to fraction form
    72,757.52/109,135.88 = 18,722.16/x
  3. Step 3: Cross multiply
    72,757.52x = 109,135.88 × 18,722.16
  4. Step 4: Simplify right side
    72,757.52x = 2,043,259,407.10
  5. Step 5: Solve for x
    x = 2,043,259,407.10/72,757.52
  6. Step 6: Final answer
    x = 28,083.14

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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.