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Finding the Fourth Proportional to 54,157.30, 74,744.03 and 30,285.32

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Solution

The fourth proportional to 54,157.30, 74,744.03 and 30,285.32 is: 41,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,157.30 : 74,744.03 = 30,285.32 : x
  2. Step 2: Convert to fraction form
    54,157.30/74,744.03 = 30,285.32/x
  3. Step 3: Cross multiply
    54,157.30x = 74,744.03 × 30,285.32
  4. Step 4: Simplify right side
    54,157.30x = 2,263,646,568.63
  5. Step 5: Solve for x
    x = 2,263,646,568.63/54,157.30
  6. Step 6: Final answer
    x = 41,797.63

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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.