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Finding the Fourth Proportional to 56,716.80, 85,078.40 and 17,275.20

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Solution

The fourth proportional to 56,716.80, 85,078.40 and 17,275.20 is: 25,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,716.80 : 85,078.40 = 17,275.20 : x
  2. Step 2: Convert to fraction form
    56,716.80/85,078.40 = 17,275.20/x
  3. Step 3: Cross multiply
    56,716.80x = 85,078.40 × 17,275.20
  4. Step 4: Simplify right side
    56,716.80x = 1,469,746,375.68
  5. Step 5: Solve for x
    x = 1,469,746,375.68/56,716.80
  6. Step 6: Final answer
    x = 25,913.77

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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.