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Finding the Fourth Proportional to 54,949.60, 82,359.60 and 28,640.80

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Solution

The fourth proportional to 54,949.60, 82,359.60 and 28,640.80 is: 42,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,949.60 : 82,359.60 = 28,640.80 : x
  2. Step 2: Convert to fraction form
    54,949.60/82,359.60 = 28,640.80/x
  3. Step 3: Cross multiply
    54,949.60x = 82,359.60 × 28,640.80
  4. Step 4: Simplify right side
    54,949.60x = 2,358,844,831.68
  5. Step 5: Solve for x
    x = 2,358,844,831.68/54,949.60
  6. Step 6: Final answer
    x = 42,927.42

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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.