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Finding the Fourth Proportional to 54,752.44, 75,558 and 30,879.32

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Solution

The fourth proportional to 54,752.44, 75,558 and 30,879.32 is: 42,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,752.44 : 75,558 = 30,879.32 : x
  2. Step 2: Convert to fraction form
    54,752.44/75,558 = 30,879.32/x
  3. Step 3: Cross multiply
    54,752.44x = 75,558 × 30,879.32
  4. Step 4: Simplify right side
    54,752.44x = 2,333,179,660.56
  5. Step 5: Solve for x
    x = 2,333,179,660.56/54,752.44
  6. Step 6: Final answer
    x = 42,613.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.