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Finding the Fourth Proportional to 172,758, 259,025.52 and 72,891.60

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Solution

The fourth proportional to 172,758, 259,025.52 and 72,891.60 is: 109,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,758 : 259,025.52 = 72,891.60 : x
  2. Step 2: Convert to fraction form
    172,758/259,025.52 = 72,891.60/x
  3. Step 3: Cross multiply
    172,758x = 259,025.52 × 72,891.60
  4. Step 4: Simplify right side
    172,758x = 18,880,784,593.63
  5. Step 5: Solve for x
    x = 18,880,784,593.63/172,758
  6. Step 6: Final answer
    x = 109,290.36

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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.