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Finding the Fourth Proportional to 163,680.97, 245,449.88 and 82,578.10

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Solution

The fourth proportional to 163,680.97, 245,449.88 and 82,578.10 is: 123,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680.97 : 245,449.88 = 82,578.10 : x
  2. Step 2: Convert to fraction form
    163,680.97/245,449.88 = 82,578.10/x
  3. Step 3: Cross multiply
    163,680.97x = 245,449.88 × 82,578.10
  4. Step 4: Simplify right side
    163,680.97x = 20,268,784,329.68
  5. Step 5: Solve for x
    x = 20,268,784,329.68/163,680.97
  6. Step 6: Final answer
    x = 123,831.03

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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.